TSTP Solution File: SYN485+1 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN485+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n017.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 13:53:27 EDT 2022

% Result   : Theorem 0.69s 0.88s
% Output   : Proof 0.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN485+1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n017.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 15:58:04 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.69/0.88  (* PROOF-FOUND *)
% 0.69/0.88  % SZS status Theorem
% 0.69/0.88  (* BEGIN-PROOF *)
% 0.69/0.88  % SZS output start Proof
% 0.69/0.88  Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c3_1 (a2068))/\((~(c0_1 (a2068)))/\(~(c2_1 (a2068)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a2070))/\((c3_1 (a2070))/\(~(c2_1 (a2070)))))))/\(((~(hskp2))\/((ndr1_0)/\((c0_1 (a2071))/\((c2_1 (a2071))/\(~(c3_1 (a2071)))))))/\(((~(hskp3))\/((ndr1_0)/\((~(c0_1 (a2072)))/\((~(c1_1 (a2072)))/\(~(c3_1 (a2072)))))))/\(((~(hskp4))\/((ndr1_0)/\((c1_1 (a2074))/\((c3_1 (a2074))/\(~(c2_1 (a2074)))))))/\(((~(hskp5))\/((ndr1_0)/\((c1_1 (a2076))/\((c3_1 (a2076))/\(~(c0_1 (a2076)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a2078))/\((~(c1_1 (a2078)))/\(~(c2_1 (a2078)))))))/\(((~(hskp7))\/((ndr1_0)/\((c0_1 (a2079))/\((c1_1 (a2079))/\(~(c3_1 (a2079)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))))/\(((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))))/\(((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))))/\(((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))))/\(((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095)))))))/\(((~(hskp13))\/((ndr1_0)/\((c2_1 (a2096))/\((~(c0_1 (a2096)))/\(~(c1_1 (a2096)))))))/\(((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))))/\(((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099)))))))/\(((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104)))))))/\(((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110)))))))/\(((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))))/\(((~(hskp19))\/((ndr1_0)/\((c2_1 (a2122))/\((~(c0_1 (a2122)))/\(~(c3_1 (a2122)))))))/\(((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a2136))/\((c1_1 (a2136))/\(~(c2_1 (a2136)))))))/\(((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160)))))))/\(((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075))))))/\(((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp6)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7)))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp1)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/(hskp11)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp10)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp12)\/(hskp13)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp15)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))))/\(((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp27)\/(hskp29)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0)))/\(((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1)))/\(((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp26)\/(hskp18)))/\(((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26)))/\(((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3)))/\(((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))))/\(((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8)))/\(((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp11)\/(hskp19)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))\/(hskp17)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))\/(hskp8)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15)))/\(((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((hskp21)\/(hskp16)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((hskp17)\/(hskp20)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22))/\(((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp4)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((hskp7)\/(hskp16)))/\(((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp7)\/(hskp4)))/\(((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/((hskp17)\/(hskp22)))/\(((hskp27)\/((hskp23)\/(hskp5)))/\(((hskp7)\/((hskp23)\/(hskp15)))/\(((hskp17)\/(hskp2))/\(((hskp17)\/((hskp23)\/(hskp1)))/\(((hskp23)\/((hskp24)\/(hskp5)))/\(((hskp6)\/((hskp5)\/(hskp18)))/\(((hskp29)\/((hskp5)\/(hskp3)))/\(((hskp24)\/((hskp12)\/(hskp10)))/\((hskp12)\/((hskp25)\/(hskp18))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))).
% 0.69/0.88  Proof.
% 0.69/0.88  assert (zenon_L1_ : (~(hskp17)) -> (hskp17) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H1 zenon_H2.
% 0.69/0.88  exact (zenon_H1 zenon_H2).
% 0.69/0.88  (* end of lemma zenon_L1_ *)
% 0.69/0.88  assert (zenon_L2_ : (~(hskp2)) -> (hskp2) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H3 zenon_H4.
% 0.69/0.88  exact (zenon_H3 zenon_H4).
% 0.69/0.88  (* end of lemma zenon_L2_ *)
% 0.69/0.88  assert (zenon_L3_ : ((hskp17)\/(hskp2)) -> (~(hskp2)) -> (~(hskp17)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H5 zenon_H3 zenon_H1.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H5); [ zenon_intro zenon_H2 | zenon_intro zenon_H4 ].
% 0.69/0.88  exact (zenon_H1 zenon_H2).
% 0.69/0.88  exact (zenon_H3 zenon_H4).
% 0.69/0.88  (* end of lemma zenon_L3_ *)
% 0.69/0.88  assert (zenon_L4_ : (~(hskp6)) -> (hskp6) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H6 zenon_H7.
% 0.69/0.88  exact (zenon_H6 zenon_H7).
% 0.69/0.88  (* end of lemma zenon_L4_ *)
% 0.69/0.88  assert (zenon_L5_ : (~(hskp5)) -> (hskp5) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H8 zenon_H9.
% 0.69/0.88  exact (zenon_H8 zenon_H9).
% 0.69/0.88  (* end of lemma zenon_L5_ *)
% 0.69/0.88  assert (zenon_L6_ : (~(hskp18)) -> (hskp18) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Ha zenon_Hb.
% 0.69/0.88  exact (zenon_Ha zenon_Hb).
% 0.69/0.88  (* end of lemma zenon_L6_ *)
% 0.69/0.88  assert (zenon_L7_ : ((hskp6)\/((hskp5)\/(hskp18))) -> (~(hskp6)) -> (~(hskp5)) -> (~(hskp18)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hc zenon_H6 zenon_H8 zenon_Ha.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hc); [ zenon_intro zenon_H7 | zenon_intro zenon_Hd ].
% 0.69/0.88  exact (zenon_H6 zenon_H7).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hd); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb ].
% 0.69/0.88  exact (zenon_H8 zenon_H9).
% 0.69/0.88  exact (zenon_Ha zenon_Hb).
% 0.69/0.88  (* end of lemma zenon_L7_ *)
% 0.69/0.88  assert (zenon_L8_ : (~(ndr1_0)) -> (ndr1_0) -> False).
% 0.69/0.88  do 0 intro. intros zenon_He zenon_Hf.
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  (* end of lemma zenon_L8_ *)
% 0.69/0.88  assert (zenon_L9_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a2116))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19))))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H10 zenon_Hf zenon_H11 zenon_H12 zenon_H13 zenon_H14.
% 0.69/0.88  generalize (zenon_H10 (a2116)). zenon_intro zenon_H15.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_He | zenon_intro zenon_H16 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ].
% 0.69/0.88  exact (zenon_H11 zenon_H18).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ].
% 0.69/0.88  generalize (zenon_H12 (a2116)). zenon_intro zenon_H1b.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H1b); [ zenon_intro zenon_He | zenon_intro zenon_H1c ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ].
% 0.69/0.88  exact (zenon_H1a zenon_H1e).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f ].
% 0.69/0.88  exact (zenon_H11 zenon_H18).
% 0.69/0.88  exact (zenon_H13 zenon_H1f).
% 0.69/0.88  exact (zenon_H19 zenon_H14).
% 0.69/0.88  (* end of lemma zenon_L9_ *)
% 0.69/0.88  assert (zenon_L10_ : (~(hskp22)) -> (hskp22) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H20 zenon_H21.
% 0.69/0.88  exact (zenon_H20 zenon_H21).
% 0.69/0.88  (* end of lemma zenon_L10_ *)
% 0.69/0.88  assert (zenon_L11_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2116)) -> (~(c3_1 (a2116))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19))))) -> (~(c2_1 (a2116))) -> (ndr1_0) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H22 zenon_H20 zenon_H14 zenon_H13 zenon_H12 zenon_H11 zenon_Hf.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H10 | zenon_intro zenon_H21 ].
% 0.69/0.88  apply (zenon_L9_); trivial.
% 0.69/0.88  exact (zenon_H20 zenon_H21).
% 0.69/0.88  (* end of lemma zenon_L11_ *)
% 0.69/0.88  assert (zenon_L12_ : (~(hskp4)) -> (hskp4) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H23 zenon_H24.
% 0.69/0.88  exact (zenon_H23 zenon_H24).
% 0.69/0.88  (* end of lemma zenon_L12_ *)
% 0.69/0.88  assert (zenon_L13_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (ndr1_0) -> (~(c2_1 (a2116))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> (~(hskp4)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H25 zenon_Hf zenon_H11 zenon_H13 zenon_H14 zenon_H20 zenon_H22 zenon_H8 zenon_H23.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H12 | zenon_intro zenon_H26 ].
% 0.69/0.88  apply (zenon_L11_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H9 | zenon_intro zenon_H24 ].
% 0.69/0.88  exact (zenon_H8 zenon_H9).
% 0.69/0.88  exact (zenon_H23 zenon_H24).
% 0.69/0.88  (* end of lemma zenon_L13_ *)
% 0.69/0.88  assert (zenon_L14_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a2140))) -> (c2_1 (a2140)) -> (c3_1 (a2140)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H27 zenon_Hf zenon_H28 zenon_H29 zenon_H2a.
% 0.69/0.88  generalize (zenon_H27 (a2140)). zenon_intro zenon_H2b.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_He | zenon_intro zenon_H2c ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ].
% 0.69/0.88  exact (zenon_H28 zenon_H2e).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 0.69/0.88  exact (zenon_H30 zenon_H29).
% 0.69/0.88  exact (zenon_H2f zenon_H2a).
% 0.69/0.88  (* end of lemma zenon_L14_ *)
% 0.69/0.88  assert (zenon_L15_ : (~(hskp11)) -> (hskp11) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H31 zenon_H32.
% 0.69/0.88  exact (zenon_H31 zenon_H32).
% 0.69/0.88  (* end of lemma zenon_L15_ *)
% 0.69/0.88  assert (zenon_L16_ : (~(hskp0)) -> (hskp0) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H33 zenon_H34.
% 0.69/0.88  exact (zenon_H33 zenon_H34).
% 0.69/0.88  (* end of lemma zenon_L16_ *)
% 0.69/0.88  assert (zenon_L17_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp11)) -> (~(hskp0)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H35 zenon_H36 zenon_H31 zenon_H33.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H27 | zenon_intro zenon_H39 ].
% 0.69/0.88  apply (zenon_L14_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H32 | zenon_intro zenon_H34 ].
% 0.69/0.88  exact (zenon_H31 zenon_H32).
% 0.69/0.88  exact (zenon_H33 zenon_H34).
% 0.69/0.88  (* end of lemma zenon_L17_ *)
% 0.69/0.88  assert (zenon_L18_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H3a zenon_H3b zenon_H36 zenon_H33 zenon_H31 zenon_H22 zenon_H8 zenon_H23 zenon_H25.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.88  apply (zenon_L13_); trivial.
% 0.69/0.88  apply (zenon_L17_); trivial.
% 0.69/0.88  (* end of lemma zenon_L18_ *)
% 0.69/0.88  assert (zenon_L19_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp6)\/((hskp5)\/(hskp18))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H3e zenon_H3b zenon_H36 zenon_H33 zenon_H31 zenon_H22 zenon_H23 zenon_H25 zenon_H6 zenon_H8 zenon_Hc.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.88  apply (zenon_L7_); trivial.
% 0.69/0.88  apply (zenon_L18_); trivial.
% 0.69/0.88  (* end of lemma zenon_L19_ *)
% 0.69/0.88  assert (zenon_L20_ : (~(hskp29)) -> (hskp29) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H3f zenon_H40.
% 0.69/0.88  exact (zenon_H3f zenon_H40).
% 0.69/0.88  (* end of lemma zenon_L20_ *)
% 0.69/0.88  assert (zenon_L21_ : (~(hskp3)) -> (hskp3) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H41 zenon_H42.
% 0.69/0.88  exact (zenon_H41 zenon_H42).
% 0.69/0.88  (* end of lemma zenon_L21_ *)
% 0.69/0.88  assert (zenon_L22_ : ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp29)) -> (~(hskp5)) -> (~(hskp3)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H43 zenon_H3f zenon_H8 zenon_H41.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ].
% 0.69/0.88  exact (zenon_H3f zenon_H40).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H9 | zenon_intro zenon_H42 ].
% 0.69/0.88  exact (zenon_H8 zenon_H9).
% 0.69/0.88  exact (zenon_H41 zenon_H42).
% 0.69/0.88  (* end of lemma zenon_L22_ *)
% 0.69/0.88  assert (zenon_L23_ : (forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80)))))) -> (ndr1_0) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H45 zenon_Hf zenon_H46 zenon_H47 zenon_H48.
% 0.69/0.88  generalize (zenon_H45 (a2093)). zenon_intro zenon_H49.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H49); [ zenon_intro zenon_He | zenon_intro zenon_H4a ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ].
% 0.69/0.88  exact (zenon_H46 zenon_H4c).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ].
% 0.69/0.88  exact (zenon_H47 zenon_H4e).
% 0.69/0.88  exact (zenon_H4d zenon_H48).
% 0.69/0.88  (* end of lemma zenon_L23_ *)
% 0.69/0.88  assert (zenon_L24_ : (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (~(c0_1 (a2077))) -> (c1_1 (a2077)) -> (c3_1 (a2077)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H4f zenon_Hf zenon_H50 zenon_H51 zenon_H52.
% 0.69/0.88  generalize (zenon_H4f (a2077)). zenon_intro zenon_H53.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H53); [ zenon_intro zenon_He | zenon_intro zenon_H54 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ].
% 0.69/0.88  exact (zenon_H50 zenon_H56).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ].
% 0.69/0.88  exact (zenon_H58 zenon_H51).
% 0.69/0.88  exact (zenon_H57 zenon_H52).
% 0.69/0.88  (* end of lemma zenon_L24_ *)
% 0.69/0.88  assert (zenon_L25_ : (forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (ndr1_0) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (c1_1 (a2077)) -> (c3_1 (a2077)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H59 zenon_Hf zenon_H4f zenon_H51 zenon_H52.
% 0.69/0.88  generalize (zenon_H59 (a2077)). zenon_intro zenon_H5a.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H5a); [ zenon_intro zenon_He | zenon_intro zenon_H5b ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H50 | zenon_intro zenon_H55 ].
% 0.69/0.88  apply (zenon_L24_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ].
% 0.69/0.88  exact (zenon_H58 zenon_H51).
% 0.69/0.88  exact (zenon_H57 zenon_H52).
% 0.69/0.88  (* end of lemma zenon_L25_ *)
% 0.69/0.88  assert (zenon_L26_ : (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (c1_1 (a2077)) -> (c3_1 (a2077)) -> (c2_1 (a2077)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H5c zenon_Hf zenon_H4f zenon_H51 zenon_H52 zenon_H5d.
% 0.69/0.88  generalize (zenon_H5c (a2077)). zenon_intro zenon_H5e.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H5e); [ zenon_intro zenon_He | zenon_intro zenon_H5f ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H50 | zenon_intro zenon_H60 ].
% 0.69/0.88  apply (zenon_L24_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H61 | zenon_intro zenon_H57 ].
% 0.69/0.88  exact (zenon_H61 zenon_H5d).
% 0.69/0.88  exact (zenon_H57 zenon_H52).
% 0.69/0.88  (* end of lemma zenon_L26_ *)
% 0.69/0.88  assert (zenon_L27_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (ndr1_0) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (c1_1 (a2077)) -> (c3_1 (a2077)) -> (c2_1 (a2077)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_Hf zenon_H4f zenon_H51 zenon_H52 zenon_H5d.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ].
% 0.69/0.88  apply (zenon_L23_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ].
% 0.69/0.88  apply (zenon_L25_); trivial.
% 0.69/0.88  apply (zenon_L26_); trivial.
% 0.69/0.88  (* end of lemma zenon_L27_ *)
% 0.69/0.88  assert (zenon_L28_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H64 zenon_H65 zenon_H33 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H8 zenon_H41 zenon_H43.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H66 ].
% 0.69/0.88  apply (zenon_L22_); trivial.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_Hf. zenon_intro zenon_H67.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H51. zenon_intro zenon_H68.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H5d. zenon_intro zenon_H52.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H4f | zenon_intro zenon_H34 ].
% 0.69/0.88  apply (zenon_L27_); trivial.
% 0.69/0.88  exact (zenon_H33 zenon_H34).
% 0.69/0.88  (* end of lemma zenon_L28_ *)
% 0.69/0.88  assert (zenon_L29_ : (~(hskp12)) -> (hskp12) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H69 zenon_H6a.
% 0.69/0.88  exact (zenon_H69 zenon_H6a).
% 0.69/0.88  (* end of lemma zenon_L29_ *)
% 0.69/0.88  assert (zenon_L30_ : (~(hskp25)) -> (hskp25) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H6b zenon_H6c.
% 0.69/0.88  exact (zenon_H6b zenon_H6c).
% 0.69/0.88  (* end of lemma zenon_L30_ *)
% 0.69/0.88  assert (zenon_L31_ : ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp12)) -> (~(hskp25)) -> (~(hskp18)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H6d zenon_H69 zenon_H6b zenon_Ha.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H6a | zenon_intro zenon_H6e ].
% 0.69/0.88  exact (zenon_H69 zenon_H6a).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H6c | zenon_intro zenon_Hb ].
% 0.69/0.88  exact (zenon_H6b zenon_H6c).
% 0.69/0.88  exact (zenon_Ha zenon_Hb).
% 0.69/0.88  (* end of lemma zenon_L31_ *)
% 0.69/0.88  assert (zenon_L32_ : (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32)))))) -> (ndr1_0) -> (~(c0_1 (a2172))) -> (~(c3_1 (a2172))) -> (c1_1 (a2172)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H6f zenon_Hf zenon_H70 zenon_H71 zenon_H72.
% 0.69/0.88  generalize (zenon_H6f (a2172)). zenon_intro zenon_H73.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H73); [ zenon_intro zenon_He | zenon_intro zenon_H74 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ].
% 0.69/0.88  exact (zenon_H70 zenon_H76).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ].
% 0.69/0.88  exact (zenon_H71 zenon_H78).
% 0.69/0.88  exact (zenon_H77 zenon_H72).
% 0.69/0.88  (* end of lemma zenon_L32_ *)
% 0.69/0.88  assert (zenon_L33_ : (forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (c1_1 (a2077)) -> (c2_1 (a2077)) -> (c3_1 (a2077)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H79 zenon_Hf zenon_H51 zenon_H5d zenon_H52.
% 0.69/0.88  generalize (zenon_H79 (a2077)). zenon_intro zenon_H7a.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H7a); [ zenon_intro zenon_He | zenon_intro zenon_H7b ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H58 | zenon_intro zenon_H60 ].
% 0.69/0.88  exact (zenon_H58 zenon_H51).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H61 | zenon_intro zenon_H57 ].
% 0.69/0.88  exact (zenon_H61 zenon_H5d).
% 0.69/0.88  exact (zenon_H57 zenon_H52).
% 0.69/0.88  (* end of lemma zenon_L33_ *)
% 0.69/0.88  assert (zenon_L34_ : (~(hskp8)) -> (hskp8) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H7c zenon_H7d.
% 0.69/0.88  exact (zenon_H7c zenon_H7d).
% 0.69/0.88  (* end of lemma zenon_L34_ *)
% 0.69/0.88  assert (zenon_L35_ : ((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (c1_1 (a2172)) -> (~(c3_1 (a2172))) -> (~(c0_1 (a2172))) -> (~(hskp8)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H66 zenon_H7e zenon_H72 zenon_H71 zenon_H70 zenon_H7c.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_Hf. zenon_intro zenon_H67.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H51. zenon_intro zenon_H68.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H5d. zenon_intro zenon_H52.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6f | zenon_intro zenon_H7f ].
% 0.69/0.88  apply (zenon_L32_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H79 | zenon_intro zenon_H7d ].
% 0.69/0.88  apply (zenon_L33_); trivial.
% 0.69/0.88  exact (zenon_H7c zenon_H7d).
% 0.69/0.88  (* end of lemma zenon_L35_ *)
% 0.69/0.88  assert (zenon_L36_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp12)) -> (~(hskp18)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H80 zenon_H64 zenon_H7e zenon_H7c zenon_H8 zenon_H41 zenon_H43 zenon_H69 zenon_Ha zenon_H6d.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6b | zenon_intro zenon_H81 ].
% 0.69/0.88  apply (zenon_L31_); trivial.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H82.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H72. zenon_intro zenon_H83.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H70. zenon_intro zenon_H71.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H66 ].
% 0.69/0.88  apply (zenon_L22_); trivial.
% 0.69/0.88  apply (zenon_L35_); trivial.
% 0.69/0.88  (* end of lemma zenon_L36_ *)
% 0.69/0.88  assert (zenon_L37_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp12)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H3e zenon_H3b zenon_H36 zenon_H33 zenon_H31 zenon_H22 zenon_H23 zenon_H25 zenon_H6d zenon_H69 zenon_H43 zenon_H41 zenon_H8 zenon_H7c zenon_H7e zenon_H64 zenon_H80.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.88  apply (zenon_L36_); trivial.
% 0.69/0.88  apply (zenon_L18_); trivial.
% 0.69/0.88  (* end of lemma zenon_L37_ *)
% 0.69/0.88  assert (zenon_L38_ : (~(hskp27)) -> (hskp27) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H84 zenon_H85.
% 0.69/0.88  exact (zenon_H84 zenon_H85).
% 0.69/0.88  (* end of lemma zenon_L38_ *)
% 0.69/0.88  assert (zenon_L39_ : (~(hskp23)) -> (hskp23) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H86 zenon_H87.
% 0.69/0.88  exact (zenon_H86 zenon_H87).
% 0.69/0.88  (* end of lemma zenon_L39_ *)
% 0.69/0.88  assert (zenon_L40_ : ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp27)) -> (~(hskp23)) -> (~(hskp5)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H88 zenon_H84 zenon_H86 zenon_H8.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H85 | zenon_intro zenon_H89 ].
% 0.69/0.88  exact (zenon_H84 zenon_H85).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H87 | zenon_intro zenon_H9 ].
% 0.69/0.88  exact (zenon_H86 zenon_H87).
% 0.69/0.88  exact (zenon_H8 zenon_H9).
% 0.69/0.88  (* end of lemma zenon_L40_ *)
% 0.69/0.88  assert (zenon_L41_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a2095))) -> (~(c2_1 (a2095))) -> (c1_1 (a2095)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H8a zenon_Hf zenon_H8b zenon_H8c zenon_H8d.
% 0.69/0.88  generalize (zenon_H8a (a2095)). zenon_intro zenon_H8e.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H8e); [ zenon_intro zenon_He | zenon_intro zenon_H8f ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H91 | zenon_intro zenon_H90 ].
% 0.69/0.88  exact (zenon_H8b zenon_H91).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ].
% 0.69/0.88  exact (zenon_H8c zenon_H93).
% 0.69/0.88  exact (zenon_H92 zenon_H8d).
% 0.69/0.88  (* end of lemma zenon_L41_ *)
% 0.69/0.88  assert (zenon_L42_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c3_1 (a2078)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H94 zenon_Hf zenon_H95 zenon_H96 zenon_H97.
% 0.69/0.88  generalize (zenon_H94 (a2078)). zenon_intro zenon_H98.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H98); [ zenon_intro zenon_He | zenon_intro zenon_H99 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H9b | zenon_intro zenon_H9a ].
% 0.69/0.88  exact (zenon_H95 zenon_H9b).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9d | zenon_intro zenon_H9c ].
% 0.69/0.88  exact (zenon_H96 zenon_H9d).
% 0.69/0.88  exact (zenon_H9c zenon_H97).
% 0.69/0.88  (* end of lemma zenon_L42_ *)
% 0.69/0.88  assert (zenon_L43_ : (forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80)))))) -> (ndr1_0) -> (~(c1_1 (a2078))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H45 zenon_Hf zenon_H95 zenon_H94 zenon_H96 zenon_H9e.
% 0.69/0.88  generalize (zenon_H45 (a2078)). zenon_intro zenon_H9f.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H9f); [ zenon_intro zenon_He | zenon_intro zenon_Ha0 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha1 ].
% 0.69/0.88  exact (zenon_H95 zenon_H9b).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H97 | zenon_intro zenon_Ha2 ].
% 0.69/0.88  apply (zenon_L42_); trivial.
% 0.69/0.88  exact (zenon_Ha2 zenon_H9e).
% 0.69/0.88  (* end of lemma zenon_L43_ *)
% 0.69/0.88  assert (zenon_L44_ : (~(hskp1)) -> (hskp1) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Ha3 zenon_Ha4.
% 0.69/0.88  exact (zenon_Ha3 zenon_Ha4).
% 0.69/0.88  (* end of lemma zenon_L44_ *)
% 0.69/0.88  assert (zenon_L45_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c1_1 (a2078))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp8)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Ha5 zenon_H9e zenon_H96 zenon_H94 zenon_H95 zenon_Hf zenon_Ha3 zenon_H7c.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H45 | zenon_intro zenon_Ha6 ].
% 0.69/0.88  apply (zenon_L43_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H7d ].
% 0.69/0.88  exact (zenon_Ha3 zenon_Ha4).
% 0.69/0.88  exact (zenon_H7c zenon_H7d).
% 0.69/0.88  (* end of lemma zenon_L45_ *)
% 0.69/0.88  assert (zenon_L46_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42)))))) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H10 zenon_Hf zenon_H79 zenon_Ha7 zenon_Ha8 zenon_Ha9.
% 0.69/0.88  generalize (zenon_H10 (a2073)). zenon_intro zenon_Haa.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_Haa); [ zenon_intro zenon_He | zenon_intro zenon_Hab ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_Had | zenon_intro zenon_Hac ].
% 0.69/0.88  generalize (zenon_H79 (a2073)). zenon_intro zenon_Hae.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_Hae); [ zenon_intro zenon_He | zenon_intro zenon_Haf ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb0 ].
% 0.69/0.88  exact (zenon_Hb1 zenon_Ha7).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb2 ].
% 0.69/0.88  exact (zenon_Hb3 zenon_Had).
% 0.69/0.88  exact (zenon_Hb2 zenon_Ha8).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb1 ].
% 0.69/0.88  exact (zenon_Hb4 zenon_Ha9).
% 0.69/0.88  exact (zenon_Hb1 zenon_Ha7).
% 0.69/0.88  (* end of lemma zenon_L46_ *)
% 0.69/0.88  assert (zenon_L47_ : (~(hskp9)) -> (hskp9) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hb5 zenon_Hb6.
% 0.69/0.88  exact (zenon_Hb5 zenon_Hb6).
% 0.69/0.88  (* end of lemma zenon_L47_ *)
% 0.69/0.88  assert (zenon_L48_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a2149))) -> (c0_1 (a2149)) -> (c3_1 (a2149)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hb7 zenon_Hf zenon_Hb8 zenon_Hb9 zenon_Hba.
% 0.69/0.88  generalize (zenon_Hb7 (a2149)). zenon_intro zenon_Hbb.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_Hbb); [ zenon_intro zenon_He | zenon_intro zenon_Hbc ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hbd ].
% 0.69/0.88  exact (zenon_Hb8 zenon_Hbe).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hbf ].
% 0.69/0.88  exact (zenon_Hc0 zenon_Hb9).
% 0.69/0.88  exact (zenon_Hbf zenon_Hba).
% 0.69/0.88  (* end of lemma zenon_L48_ *)
% 0.69/0.88  assert (zenon_L49_ : (~(hskp10)) -> (hskp10) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hc1 zenon_Hc2.
% 0.69/0.88  exact (zenon_Hc1 zenon_Hc2).
% 0.69/0.88  (* end of lemma zenon_L49_ *)
% 0.69/0.88  assert (zenon_L50_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> (~(hskp10)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hc3 zenon_Hc4 zenon_H31 zenon_Hc1.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc7 ].
% 0.69/0.88  apply (zenon_L48_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H32 | zenon_intro zenon_Hc2 ].
% 0.69/0.88  exact (zenon_H31 zenon_H32).
% 0.69/0.88  exact (zenon_Hc1 zenon_Hc2).
% 0.69/0.88  (* end of lemma zenon_L50_ *)
% 0.69/0.88  assert (zenon_L51_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> (~(hskp8)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hc8 zenon_Ha5 zenon_Ha3 zenon_H7c.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H45 | zenon_intro zenon_Ha6 ].
% 0.69/0.88  apply (zenon_L23_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H7d ].
% 0.69/0.88  exact (zenon_Ha3 zenon_Ha4).
% 0.69/0.88  exact (zenon_H7c zenon_H7d).
% 0.69/0.88  (* end of lemma zenon_L51_ *)
% 0.69/0.88  assert (zenon_L52_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hcb zenon_H3e zenon_H3b zenon_H36 zenon_H33 zenon_H22 zenon_H23 zenon_H25 zenon_H6d zenon_H43 zenon_H41 zenon_H8 zenon_H7c zenon_H7e zenon_H64 zenon_H80 zenon_Hcc zenon_Hcd zenon_Hb5 zenon_Ha5 zenon_Ha3 zenon_H9e zenon_H96 zenon_H95 zenon_Hce zenon_H88 zenon_Hc1 zenon_Hc4 zenon_Hcf zenon_Hd0.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.88  apply (zenon_L37_); trivial.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.88  apply (zenon_L40_); trivial.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ].
% 0.69/0.88  apply (zenon_L41_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H94 | zenon_intro zenon_H7f ].
% 0.69/0.88  apply (zenon_L45_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H79 | zenon_intro zenon_H7d ].
% 0.69/0.88  apply (zenon_L46_); trivial.
% 0.69/0.88  exact (zenon_H7c zenon_H7d).
% 0.69/0.88  exact (zenon_Hb5 zenon_Hb6).
% 0.69/0.88  apply (zenon_L50_); trivial.
% 0.69/0.88  apply (zenon_L51_); trivial.
% 0.69/0.88  (* end of lemma zenon_L52_ *)
% 0.69/0.88  assert (zenon_L53_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2116)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (~(c2_1 (a2116))) -> (ndr1_0) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H22 zenon_H20 zenon_H14 zenon_H8a zenon_H11 zenon_Hf.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H10 | zenon_intro zenon_H21 ].
% 0.69/0.88  generalize (zenon_H10 (a2116)). zenon_intro zenon_H15.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_He | zenon_intro zenon_H16 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ].
% 0.69/0.88  exact (zenon_H11 zenon_H18).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ].
% 0.69/0.88  generalize (zenon_H8a (a2116)). zenon_intro zenon_Hd8.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_Hd8); [ zenon_intro zenon_He | zenon_intro zenon_Hd9 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H1e | zenon_intro zenon_Hda ].
% 0.69/0.88  exact (zenon_H1a zenon_H1e).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H18 | zenon_intro zenon_H19 ].
% 0.69/0.88  exact (zenon_H11 zenon_H18).
% 0.69/0.88  exact (zenon_H19 zenon_H14).
% 0.69/0.88  exact (zenon_H19 zenon_H14).
% 0.69/0.88  exact (zenon_H20 zenon_H21).
% 0.69/0.88  (* end of lemma zenon_L53_ *)
% 0.69/0.88  assert (zenon_L54_ : (forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5)))))) -> (ndr1_0) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hdb zenon_Hf zenon_Hdc zenon_Hdd zenon_Hde.
% 0.69/0.88  generalize (zenon_Hdb (a2087)). zenon_intro zenon_Hdf.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_Hdf); [ zenon_intro zenon_He | zenon_intro zenon_He0 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_He2 | zenon_intro zenon_He1 ].
% 0.69/0.88  exact (zenon_Hdc zenon_He2).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He4 | zenon_intro zenon_He3 ].
% 0.69/0.88  exact (zenon_Hdd zenon_He4).
% 0.69/0.88  exact (zenon_He3 zenon_Hde).
% 0.69/0.88  (* end of lemma zenon_L54_ *)
% 0.69/0.88  assert (zenon_L55_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (~(c2_1 (a2116))) -> (c1_1 (a2116)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_He5 zenon_H11 zenon_H14 zenon_H20 zenon_H22 zenon_Hde zenon_Hdd zenon_Hdc zenon_Hf zenon_H7c.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H8a | zenon_intro zenon_He6 ].
% 0.69/0.88  apply (zenon_L53_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H7d ].
% 0.69/0.88  apply (zenon_L54_); trivial.
% 0.69/0.88  exact (zenon_H7c zenon_H7d).
% 0.69/0.88  (* end of lemma zenon_L55_ *)
% 0.69/0.88  assert (zenon_L56_ : (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c0_1 (a2140))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (c2_1 (a2140)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_He7 zenon_Hf zenon_H28 zenon_He8 zenon_H29.
% 0.69/0.88  generalize (zenon_He7 (a2140)). zenon_intro zenon_He9.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_He9); [ zenon_intro zenon_He | zenon_intro zenon_Hea ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H2e | zenon_intro zenon_Heb ].
% 0.69/0.88  exact (zenon_H28 zenon_H2e).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hec | zenon_intro zenon_H30 ].
% 0.69/0.88  generalize (zenon_He8 (a2140)). zenon_intro zenon_Hed.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_Hed); [ zenon_intro zenon_He | zenon_intro zenon_Hee ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H2e | zenon_intro zenon_Hef ].
% 0.69/0.88  exact (zenon_H28 zenon_H2e).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H30 ].
% 0.69/0.88  exact (zenon_Hec zenon_Hf0).
% 0.69/0.88  exact (zenon_H30 zenon_H29).
% 0.69/0.88  exact (zenon_H30 zenon_H29).
% 0.69/0.88  (* end of lemma zenon_L56_ *)
% 0.69/0.88  assert (zenon_L57_ : (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(c1_1 (a2110))) -> (c0_1 (a2110)) -> (c2_1 (a2110)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hf1 zenon_Hf zenon_Hf2 zenon_Hf3 zenon_Hf4.
% 0.69/0.88  generalize (zenon_Hf1 (a2110)). zenon_intro zenon_Hf5.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_Hf5); [ zenon_intro zenon_He | zenon_intro zenon_Hf6 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf8 | zenon_intro zenon_Hf7 ].
% 0.69/0.88  exact (zenon_Hf2 zenon_Hf8).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hf9 ].
% 0.69/0.88  exact (zenon_Hfa zenon_Hf3).
% 0.69/0.88  exact (zenon_Hf9 zenon_Hf4).
% 0.69/0.88  (* end of lemma zenon_L57_ *)
% 0.69/0.88  assert (zenon_L58_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(hskp11)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (~(c1_1 (a2110))) -> (c0_1 (a2110)) -> (c2_1 (a2110)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H35 zenon_Hfb zenon_H31 zenon_Hdc zenon_Hdd zenon_Hde zenon_Hfc zenon_Hf2 zenon_Hf3 zenon_Hf4.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfe ].
% 0.69/0.88  apply (zenon_L56_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hdb | zenon_intro zenon_H32 ].
% 0.69/0.88  apply (zenon_L54_); trivial.
% 0.69/0.88  exact (zenon_H31 zenon_H32).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ].
% 0.69/0.88  apply (zenon_L14_); trivial.
% 0.69/0.88  apply (zenon_L57_); trivial.
% 0.69/0.88  (* end of lemma zenon_L58_ *)
% 0.69/0.88  assert (zenon_L59_ : ((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (~(hskp8)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hd1 zenon_He5 zenon_Hde zenon_Hdd zenon_Hdc zenon_H7c.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H8a | zenon_intro zenon_He6 ].
% 0.69/0.88  apply (zenon_L41_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H7d ].
% 0.69/0.88  apply (zenon_L54_); trivial.
% 0.69/0.88  exact (zenon_H7c zenon_H7d).
% 0.69/0.88  (* end of lemma zenon_L59_ *)
% 0.69/0.88  assert (zenon_L60_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((hskp17)\/(hskp2)) -> (~(hskp2)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hd0 zenon_H5 zenon_H3 zenon_H80 zenon_H64 zenon_H7e zenon_H7c zenon_H8 zenon_H41 zenon_H43 zenon_H6d zenon_He5 zenon_Hde zenon_Hdd zenon_Hdc zenon_H22 zenon_Hfc zenon_H31 zenon_Hfb zenon_H3b zenon_H3e zenon_Hff.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ].
% 0.69/0.88  apply (zenon_L3_); trivial.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.88  apply (zenon_L36_); trivial.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.88  apply (zenon_L55_); trivial.
% 0.69/0.88  apply (zenon_L58_); trivial.
% 0.69/0.88  apply (zenon_L59_); trivial.
% 0.69/0.88  (* end of lemma zenon_L60_ *)
% 0.69/0.88  assert (zenon_L61_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hcb zenon_Ha5 zenon_Ha3 zenon_Hff zenon_H3e zenon_H3b zenon_Hfb zenon_Hfc zenon_H22 zenon_Hdc zenon_Hdd zenon_Hde zenon_He5 zenon_H6d zenon_H43 zenon_H41 zenon_H8 zenon_H7c zenon_H7e zenon_H64 zenon_H80 zenon_H3 zenon_H5 zenon_Hd0.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.88  apply (zenon_L60_); trivial.
% 0.69/0.88  apply (zenon_L51_); trivial.
% 0.69/0.88  (* end of lemma zenon_L61_ *)
% 0.69/0.88  assert (zenon_L62_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H103 zenon_Hcb zenon_Ha5 zenon_Ha3 zenon_Hff zenon_H3e zenon_H3b zenon_Hfb zenon_Hfc zenon_H22 zenon_He5 zenon_H6d zenon_H43 zenon_H41 zenon_H8 zenon_H7c zenon_H7e zenon_H64 zenon_H80 zenon_H3 zenon_H5 zenon_Hd0.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.88  apply (zenon_L61_); trivial.
% 0.69/0.88  (* end of lemma zenon_L62_ *)
% 0.69/0.88  assert (zenon_L63_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hb7 zenon_Hf zenon_H106 zenon_H27 zenon_H107 zenon_H108.
% 0.69/0.88  generalize (zenon_Hb7 (a2084)). zenon_intro zenon_H109.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H109); [ zenon_intro zenon_He | zenon_intro zenon_H10a ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H10c | zenon_intro zenon_H10b ].
% 0.69/0.88  exact (zenon_H106 zenon_H10c).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H10e | zenon_intro zenon_H10d ].
% 0.69/0.88  generalize (zenon_H27 (a2084)). zenon_intro zenon_H10f.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H10f); [ zenon_intro zenon_He | zenon_intro zenon_H110 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H112 | zenon_intro zenon_H111 ].
% 0.69/0.88  exact (zenon_H10e zenon_H112).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H113 | zenon_intro zenon_H10d ].
% 0.69/0.88  exact (zenon_H113 zenon_H107).
% 0.69/0.88  exact (zenon_H10d zenon_H108).
% 0.69/0.88  exact (zenon_H10d zenon_H108).
% 0.69/0.88  (* end of lemma zenon_L63_ *)
% 0.69/0.88  assert (zenon_L64_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp10)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hc4 zenon_H108 zenon_H107 zenon_H27 zenon_H106 zenon_Hf zenon_H31 zenon_Hc1.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc7 ].
% 0.69/0.88  apply (zenon_L63_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H32 | zenon_intro zenon_Hc2 ].
% 0.69/0.88  exact (zenon_H31 zenon_H32).
% 0.69/0.88  exact (zenon_Hc1 zenon_Hc2).
% 0.69/0.88  (* end of lemma zenon_L64_ *)
% 0.69/0.88  assert (zenon_L65_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> (~(hskp0)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H36 zenon_Hc1 zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_Hc4 zenon_H31 zenon_H33.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H27 | zenon_intro zenon_H39 ].
% 0.69/0.88  apply (zenon_L64_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H32 | zenon_intro zenon_H34 ].
% 0.69/0.88  exact (zenon_H31 zenon_H32).
% 0.69/0.88  exact (zenon_H33 zenon_H34).
% 0.69/0.88  (* end of lemma zenon_L65_ *)
% 0.69/0.88  assert (zenon_L66_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hc8 zenon_H64 zenon_H65 zenon_H33 zenon_H62 zenon_H8 zenon_H41 zenon_H43.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.69/0.88  apply (zenon_L28_); trivial.
% 0.69/0.88  (* end of lemma zenon_L66_ *)
% 0.69/0.88  assert (zenon_L67_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hcb zenon_H64 zenon_H65 zenon_H62 zenon_H8 zenon_H41 zenon_H43 zenon_Hc4 zenon_Hc1 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H33 zenon_H36.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.88  apply (zenon_L65_); trivial.
% 0.69/0.88  apply (zenon_L66_); trivial.
% 0.69/0.88  (* end of lemma zenon_L67_ *)
% 0.69/0.88  assert (zenon_L68_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H114 zenon_Ha5 zenon_Ha3 zenon_Hff zenon_H3e zenon_H3b zenon_Hfb zenon_Hfc zenon_H22 zenon_He5 zenon_H6d zenon_H7c zenon_H7e zenon_H80 zenon_H3 zenon_H5 zenon_Hd0 zenon_H36 zenon_H33 zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_Hc4 zenon_H43 zenon_H41 zenon_H8 zenon_H62 zenon_H65 zenon_H64 zenon_Hcb.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.88  apply (zenon_L67_); trivial.
% 0.69/0.88  apply (zenon_L62_); trivial.
% 0.69/0.88  (* end of lemma zenon_L68_ *)
% 0.69/0.88  assert (zenon_L69_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((hskp17)\/(hskp2)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H115 zenon_H62 zenon_H65 zenon_Hcb zenon_H3e zenon_H3b zenon_H36 zenon_H33 zenon_H22 zenon_H23 zenon_H25 zenon_H6d zenon_H43 zenon_H41 zenon_H8 zenon_H7c zenon_H7e zenon_H64 zenon_H80 zenon_Hcc zenon_Hcd zenon_Ha5 zenon_Ha3 zenon_H9e zenon_H96 zenon_H95 zenon_Hce zenon_H88 zenon_Hc4 zenon_Hcf zenon_Hd0 zenon_H5 zenon_H3 zenon_He5 zenon_Hfc zenon_Hfb zenon_Hff zenon_H114.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.88  apply (zenon_L52_); trivial.
% 0.69/0.88  apply (zenon_L62_); trivial.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.69/0.88  apply (zenon_L68_); trivial.
% 0.69/0.88  (* end of lemma zenon_L69_ *)
% 0.69/0.88  assert (zenon_L70_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a2073)) -> (c3_1 (a2073)) -> (c1_1 (a2073)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H10 zenon_Hf zenon_H5c zenon_Ha9 zenon_Ha8 zenon_Ha7.
% 0.69/0.88  generalize (zenon_H10 (a2073)). zenon_intro zenon_Haa.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_Haa); [ zenon_intro zenon_He | zenon_intro zenon_Hab ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_Had | zenon_intro zenon_Hac ].
% 0.69/0.88  generalize (zenon_H5c (a2073)). zenon_intro zenon_H119.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H119); [ zenon_intro zenon_He | zenon_intro zenon_H11a ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb0 ].
% 0.69/0.88  exact (zenon_Hb4 zenon_Ha9).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb2 ].
% 0.69/0.88  exact (zenon_Hb3 zenon_Had).
% 0.69/0.88  exact (zenon_Hb2 zenon_Ha8).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb1 ].
% 0.69/0.88  exact (zenon_Hb4 zenon_Ha9).
% 0.69/0.88  exact (zenon_Hb1 zenon_Ha7).
% 0.69/0.88  (* end of lemma zenon_L70_ *)
% 0.69/0.88  assert (zenon_L71_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H22 zenon_H20 zenon_Ha7 zenon_Ha8 zenon_Ha9 zenon_H5c zenon_Hf.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H10 | zenon_intro zenon_H21 ].
% 0.69/0.88  apply (zenon_L70_); trivial.
% 0.69/0.88  exact (zenon_H20 zenon_H21).
% 0.69/0.88  (* end of lemma zenon_L71_ *)
% 0.69/0.88  assert (zenon_L72_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (c1_1 (a2172)) -> (~(c3_1 (a2172))) -> (~(c0_1 (a2172))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hd4 zenon_H11b zenon_H72 zenon_H71 zenon_H70 zenon_H20 zenon_H22 zenon_H23.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11c ].
% 0.69/0.88  apply (zenon_L32_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H5c | zenon_intro zenon_H24 ].
% 0.69/0.88  apply (zenon_L71_); trivial.
% 0.69/0.88  exact (zenon_H23 zenon_H24).
% 0.69/0.88  (* end of lemma zenon_L72_ *)
% 0.69/0.88  assert (zenon_L73_ : ((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp23)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H81 zenon_Hcc zenon_H11b zenon_H23 zenon_H20 zenon_H22 zenon_H86 zenon_H8 zenon_H88.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H82.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H72. zenon_intro zenon_H83.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H70. zenon_intro zenon_H71.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.88  apply (zenon_L40_); trivial.
% 0.69/0.88  apply (zenon_L72_); trivial.
% 0.69/0.88  (* end of lemma zenon_L73_ *)
% 0.69/0.88  assert (zenon_L74_ : (~(hskp26)) -> (hskp26) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H11d zenon_H11e.
% 0.69/0.88  exact (zenon_H11d zenon_H11e).
% 0.69/0.88  (* end of lemma zenon_L74_ *)
% 0.69/0.88  assert (zenon_L75_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> (c3_1 (a2149)) -> (c0_1 (a2149)) -> (~(c1_1 (a2149))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp5)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H11f zenon_Hba zenon_Hb9 zenon_Hb8 zenon_Hf zenon_H11d zenon_H8.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H120 ].
% 0.69/0.88  apply (zenon_L48_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H11e | zenon_intro zenon_H9 ].
% 0.69/0.88  exact (zenon_H11d zenon_H11e).
% 0.69/0.88  exact (zenon_H8 zenon_H9).
% 0.69/0.88  (* end of lemma zenon_L75_ *)
% 0.69/0.88  assert (zenon_L76_ : (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (c0_1 (a2069)) -> (c2_1 (a2069)) -> (c3_1 (a2069)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H5c zenon_Hf zenon_H121 zenon_H122 zenon_H123.
% 0.69/0.88  generalize (zenon_H5c (a2069)). zenon_intro zenon_H124.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H124); [ zenon_intro zenon_He | zenon_intro zenon_H125 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H127 | zenon_intro zenon_H126 ].
% 0.69/0.88  exact (zenon_H127 zenon_H121).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H129 | zenon_intro zenon_H128 ].
% 0.69/0.88  exact (zenon_H129 zenon_H122).
% 0.69/0.88  exact (zenon_H128 zenon_H123).
% 0.69/0.88  (* end of lemma zenon_L76_ *)
% 0.69/0.88  assert (zenon_L77_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (c1_1 (a2172)) -> (~(c3_1 (a2172))) -> (~(c0_1 (a2172))) -> (~(hskp4)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H12a zenon_H11b zenon_H72 zenon_H71 zenon_H70 zenon_H23.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11c ].
% 0.69/0.88  apply (zenon_L32_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H5c | zenon_intro zenon_H24 ].
% 0.69/0.88  apply (zenon_L76_); trivial.
% 0.69/0.88  exact (zenon_H23 zenon_H24).
% 0.69/0.88  (* end of lemma zenon_L77_ *)
% 0.69/0.88  assert (zenon_L78_ : ((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2149))) -> (c0_1 (a2149)) -> (c3_1 (a2149)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H81 zenon_H12d zenon_H11b zenon_H23 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H8 zenon_H11f.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H82.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H72. zenon_intro zenon_H83.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H70. zenon_intro zenon_H71.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.88  apply (zenon_L75_); trivial.
% 0.69/0.88  apply (zenon_L77_); trivial.
% 0.69/0.88  (* end of lemma zenon_L78_ *)
% 0.69/0.88  assert (zenon_L79_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> (~(hskp12)) -> (~(hskp18)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hc3 zenon_H80 zenon_H12d zenon_H11b zenon_H23 zenon_H8 zenon_H11f zenon_H69 zenon_Ha zenon_H6d.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6b | zenon_intro zenon_H81 ].
% 0.69/0.88  apply (zenon_L31_); trivial.
% 0.69/0.88  apply (zenon_L78_); trivial.
% 0.69/0.88  (* end of lemma zenon_L79_ *)
% 0.69/0.88  assert (zenon_L80_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp18)) -> (~(hskp12)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hcf zenon_H12d zenon_H11f zenon_H6d zenon_Ha zenon_H69 zenon_H88 zenon_H8 zenon_H22 zenon_H20 zenon_H23 zenon_H11b zenon_Hcc zenon_H80.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6b | zenon_intro zenon_H81 ].
% 0.69/0.88  apply (zenon_L31_); trivial.
% 0.69/0.88  apply (zenon_L73_); trivial.
% 0.69/0.88  apply (zenon_L79_); trivial.
% 0.69/0.88  (* end of lemma zenon_L80_ *)
% 0.69/0.88  assert (zenon_L81_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> (~(hskp11)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp12)) -> (~(hskp18)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H3b zenon_H36 zenon_H33 zenon_H31 zenon_H80 zenon_Hcc zenon_H11b zenon_H23 zenon_H22 zenon_H8 zenon_H88 zenon_H69 zenon_Ha zenon_H6d zenon_H11f zenon_H12d zenon_Hcf.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.88  apply (zenon_L80_); trivial.
% 0.69/0.88  apply (zenon_L17_); trivial.
% 0.69/0.88  (* end of lemma zenon_L81_ *)
% 0.69/0.88  assert (zenon_L82_ : (~(hskp24)) -> (hskp24) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H12e zenon_H12f.
% 0.69/0.88  exact (zenon_H12e zenon_H12f).
% 0.69/0.88  (* end of lemma zenon_L82_ *)
% 0.69/0.88  assert (zenon_L83_ : ((hskp23)\/((hskp24)\/(hskp5))) -> (~(hskp23)) -> (~(hskp24)) -> (~(hskp5)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H130 zenon_H86 zenon_H12e zenon_H8.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H87 | zenon_intro zenon_H131 ].
% 0.69/0.88  exact (zenon_H86 zenon_H87).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H12f | zenon_intro zenon_H9 ].
% 0.69/0.88  exact (zenon_H12e zenon_H12f).
% 0.69/0.88  exact (zenon_H8 zenon_H9).
% 0.69/0.88  (* end of lemma zenon_L83_ *)
% 0.69/0.88  assert (zenon_L84_ : (forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46)))))) -> (ndr1_0) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H132 zenon_Hf zenon_H95 zenon_H96 zenon_H9e.
% 0.69/0.88  generalize (zenon_H132 (a2078)). zenon_intro zenon_H133.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H133); [ zenon_intro zenon_He | zenon_intro zenon_H134 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H9b | zenon_intro zenon_H135 ].
% 0.69/0.88  exact (zenon_H95 zenon_H9b).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H9d | zenon_intro zenon_Ha2 ].
% 0.69/0.88  exact (zenon_H96 zenon_H9d).
% 0.69/0.88  exact (zenon_Ha2 zenon_H9e).
% 0.69/0.88  (* end of lemma zenon_L84_ *)
% 0.69/0.88  assert (zenon_L85_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp26)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hd4 zenon_H136 zenon_H9e zenon_H96 zenon_H95 zenon_H20 zenon_H22 zenon_H11d.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H132 | zenon_intro zenon_H137 ].
% 0.69/0.88  apply (zenon_L84_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5c | zenon_intro zenon_H11e ].
% 0.69/0.88  apply (zenon_L71_); trivial.
% 0.69/0.88  exact (zenon_H11d zenon_H11e).
% 0.69/0.88  (* end of lemma zenon_L85_ *)
% 0.69/0.88  assert (zenon_L86_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> (~(hskp26)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (~(hskp23)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hcc zenon_H136 zenon_H11d zenon_H20 zenon_H22 zenon_H9e zenon_H96 zenon_H95 zenon_H86 zenon_H8 zenon_H88.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.88  apply (zenon_L40_); trivial.
% 0.69/0.88  apply (zenon_L85_); trivial.
% 0.69/0.88  (* end of lemma zenon_L86_ *)
% 0.69/0.88  assert (zenon_L87_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a2069))) -> (c0_1 (a2069)) -> (c3_1 (a2069)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hb7 zenon_Hf zenon_H138 zenon_H121 zenon_H123.
% 0.69/0.88  generalize (zenon_Hb7 (a2069)). zenon_intro zenon_H139.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H139); [ zenon_intro zenon_He | zenon_intro zenon_H13a ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H13c | zenon_intro zenon_H13b ].
% 0.69/0.88  exact (zenon_H138 zenon_H13c).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H127 | zenon_intro zenon_H128 ].
% 0.69/0.88  exact (zenon_H127 zenon_H121).
% 0.69/0.88  exact (zenon_H128 zenon_H123).
% 0.69/0.88  (* end of lemma zenon_L87_ *)
% 0.69/0.88  assert (zenon_L88_ : (forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (ndr1_0) -> (c0_1 (a2069)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c3_1 (a2069)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H59 zenon_Hf zenon_H121 zenon_Hb7 zenon_H123.
% 0.69/0.88  generalize (zenon_H59 (a2069)). zenon_intro zenon_H13d.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H13d); [ zenon_intro zenon_He | zenon_intro zenon_H13e ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H127 | zenon_intro zenon_H13f ].
% 0.69/0.88  exact (zenon_H127 zenon_H121).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H138 | zenon_intro zenon_H128 ].
% 0.69/0.88  apply (zenon_L87_); trivial.
% 0.69/0.88  exact (zenon_H128 zenon_H123).
% 0.69/0.88  (* end of lemma zenon_L88_ *)
% 0.69/0.88  assert (zenon_L89_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c1_1 (a2078))) -> (c3_1 (a2069)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c0_1 (a2069)) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (c0_1 (a2073)) -> (c3_1 (a2073)) -> (c1_1 (a2073)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H62 zenon_H9e zenon_H96 zenon_H94 zenon_H95 zenon_H123 zenon_Hb7 zenon_H121 zenon_H10 zenon_Hf zenon_Ha9 zenon_Ha8 zenon_Ha7.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ].
% 0.69/0.88  apply (zenon_L43_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ].
% 0.69/0.88  apply (zenon_L88_); trivial.
% 0.69/0.88  apply (zenon_L70_); trivial.
% 0.69/0.88  (* end of lemma zenon_L89_ *)
% 0.69/0.88  assert (zenon_L90_ : (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32)))))) -> (ndr1_0) -> (~(c0_1 (a2160))) -> (~(c3_1 (a2160))) -> (c1_1 (a2160)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H6f zenon_Hf zenon_H140 zenon_H141 zenon_H142.
% 0.69/0.88  generalize (zenon_H6f (a2160)). zenon_intro zenon_H143.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H143); [ zenon_intro zenon_He | zenon_intro zenon_H144 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H145 ].
% 0.69/0.88  exact (zenon_H140 zenon_H146).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H148 | zenon_intro zenon_H147 ].
% 0.69/0.88  exact (zenon_H141 zenon_H148).
% 0.69/0.88  exact (zenon_H147 zenon_H142).
% 0.69/0.88  (* end of lemma zenon_L90_ *)
% 0.69/0.88  assert (zenon_L91_ : (forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76)))))) -> (ndr1_0) -> (~(c3_1 (a2160))) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32)))))) -> (c1_1 (a2160)) -> (c2_1 (a2160)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H149 zenon_Hf zenon_H141 zenon_H6f zenon_H142 zenon_H14a.
% 0.69/0.88  generalize (zenon_H149 (a2160)). zenon_intro zenon_H14b.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H14b); [ zenon_intro zenon_He | zenon_intro zenon_H14c ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H148 | zenon_intro zenon_H14d ].
% 0.69/0.88  exact (zenon_H141 zenon_H148).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H140 | zenon_intro zenon_H14e ].
% 0.69/0.88  apply (zenon_L90_); trivial.
% 0.69/0.88  exact (zenon_H14e zenon_H14a).
% 0.69/0.88  (* end of lemma zenon_L91_ *)
% 0.69/0.88  assert (zenon_L92_ : (~(hskp16)) -> (hskp16) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H14f zenon_H150.
% 0.69/0.88  exact (zenon_H14f zenon_H150).
% 0.69/0.88  (* end of lemma zenon_L92_ *)
% 0.69/0.88  assert (zenon_L93_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> ((hskp23)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(c0_1 (a2095))) -> (~(c2_1 (a2095))) -> (c1_1 (a2095)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hcf zenon_Hc4 zenon_Hc1 zenon_H31 zenon_H130 zenon_H8 zenon_Hcc zenon_H136 zenon_H20 zenon_H22 zenon_H9e zenon_H96 zenon_H95 zenon_H88 zenon_H8b zenon_H8c zenon_H8d zenon_Hcd zenon_Hb5 zenon_H151 zenon_H14f zenon_H62 zenon_H23 zenon_H11b zenon_H3 zenon_H152 zenon_H12d zenon_H153.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H12e | zenon_intro zenon_H154 ].
% 0.69/0.88  apply (zenon_L83_); trivial.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H155.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H142. zenon_intro zenon_H156.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14a. zenon_intro zenon_H141.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.88  apply (zenon_L86_); trivial.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.88  apply (zenon_L40_); trivial.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H8a | zenon_intro zenon_H157 ].
% 0.69/0.88  apply (zenon_L41_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H4 ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ].
% 0.69/0.88  apply (zenon_L41_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11c ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H94 | zenon_intro zenon_H158 ].
% 0.69/0.88  apply (zenon_L89_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H149 | zenon_intro zenon_H150 ].
% 0.69/0.88  apply (zenon_L91_); trivial.
% 0.69/0.88  exact (zenon_H14f zenon_H150).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H5c | zenon_intro zenon_H24 ].
% 0.69/0.88  apply (zenon_L76_); trivial.
% 0.69/0.88  exact (zenon_H23 zenon_H24).
% 0.69/0.88  exact (zenon_Hb5 zenon_Hb6).
% 0.69/0.88  exact (zenon_H3 zenon_H4).
% 0.69/0.88  apply (zenon_L50_); trivial.
% 0.69/0.88  (* end of lemma zenon_L93_ *)
% 0.69/0.88  assert (zenon_L94_ : (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (ndr1_0) -> (c0_1 (a2069)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c3_1 (a2069)) -> (c2_1 (a2069)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H159 zenon_Hf zenon_H121 zenon_Hb7 zenon_H123 zenon_H122.
% 0.69/0.88  generalize (zenon_H159 (a2069)). zenon_intro zenon_H15a.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H15a); [ zenon_intro zenon_He | zenon_intro zenon_H15b ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H127 | zenon_intro zenon_H15c ].
% 0.69/0.88  exact (zenon_H127 zenon_H121).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H138 | zenon_intro zenon_H129 ].
% 0.69/0.88  apply (zenon_L87_); trivial.
% 0.69/0.88  exact (zenon_H129 zenon_H122).
% 0.69/0.88  (* end of lemma zenon_L94_ *)
% 0.69/0.88  assert (zenon_L95_ : (~(hskp20)) -> (hskp20) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H15d zenon_H15e.
% 0.69/0.88  exact (zenon_H15d zenon_H15e).
% 0.69/0.88  (* end of lemma zenon_L95_ *)
% 0.69/0.88  assert (zenon_L96_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp20)) -> (ndr1_0) -> (c0_1 (a2069)) -> (c3_1 (a2069)) -> (c2_1 (a2069)) -> (~(c1_1 (a2104))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (~(c0_1 (a2104))) -> (c3_1 (a2104)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(hskp11)) -> (~(hskp10)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hc4 zenon_H15d zenon_Hf zenon_H121 zenon_H123 zenon_H122 zenon_H15f zenon_H160 zenon_H161 zenon_H162 zenon_H163 zenon_H31 zenon_Hc1.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc7 ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ].
% 0.69/0.88  generalize (zenon_H165 (a2104)). zenon_intro zenon_H166.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H166); [ zenon_intro zenon_He | zenon_intro zenon_H167 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H169 | zenon_intro zenon_H168 ].
% 0.69/0.88  exact (zenon_H15f zenon_H169).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ].
% 0.69/0.88  generalize (zenon_H160 (a2104)). zenon_intro zenon_H16c.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H16c); [ zenon_intro zenon_He | zenon_intro zenon_H16d ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H16f | zenon_intro zenon_H16e ].
% 0.69/0.88  exact (zenon_H161 zenon_H16f).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H170 | zenon_intro zenon_H16a ].
% 0.69/0.88  exact (zenon_H16b zenon_H170).
% 0.69/0.88  exact (zenon_H16a zenon_H162).
% 0.69/0.88  exact (zenon_H16a zenon_H162).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H159 | zenon_intro zenon_H15e ].
% 0.69/0.88  apply (zenon_L94_); trivial.
% 0.69/0.88  exact (zenon_H15d zenon_H15e).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H32 | zenon_intro zenon_Hc2 ].
% 0.69/0.88  exact (zenon_H31 zenon_H32).
% 0.69/0.88  exact (zenon_Hc1 zenon_Hc2).
% 0.69/0.88  (* end of lemma zenon_L96_ *)
% 0.69/0.88  assert (zenon_L97_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c1_1 (a2104))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (~(c0_1 (a2104))) -> (c3_1 (a2104)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H94 zenon_Hf zenon_H15f zenon_H27 zenon_H161 zenon_H162.
% 0.69/0.88  generalize (zenon_H94 (a2104)). zenon_intro zenon_H171.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H171); [ zenon_intro zenon_He | zenon_intro zenon_H172 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H169 | zenon_intro zenon_H16e ].
% 0.69/0.88  exact (zenon_H15f zenon_H169).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H170 | zenon_intro zenon_H16a ].
% 0.69/0.88  generalize (zenon_H27 (a2104)). zenon_intro zenon_H173.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H173); [ zenon_intro zenon_He | zenon_intro zenon_H174 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H16f | zenon_intro zenon_H168 ].
% 0.69/0.88  exact (zenon_H161 zenon_H16f).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ].
% 0.69/0.88  exact (zenon_H16b zenon_H170).
% 0.69/0.88  exact (zenon_H16a zenon_H162).
% 0.69/0.88  exact (zenon_H16a zenon_H162).
% 0.69/0.88  (* end of lemma zenon_L97_ *)
% 0.69/0.88  assert (zenon_L98_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (c3_1 (a2104)) -> (~(c0_1 (a2104))) -> (~(c1_1 (a2104))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(hskp11)) -> (~(hskp0)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H36 zenon_H162 zenon_H161 zenon_H15f zenon_Hf zenon_H94 zenon_H31 zenon_H33.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H27 | zenon_intro zenon_H39 ].
% 0.69/0.88  apply (zenon_L97_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H32 | zenon_intro zenon_H34 ].
% 0.69/0.88  exact (zenon_H31 zenon_H32).
% 0.69/0.88  exact (zenon_H33 zenon_H34).
% 0.69/0.88  (* end of lemma zenon_L98_ *)
% 0.69/0.88  assert (zenon_L99_ : (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_He7 zenon_Hf zenon_H175 zenon_H176 zenon_H177.
% 0.69/0.88  generalize (zenon_He7 (a2082)). zenon_intro zenon_H178.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H178); [ zenon_intro zenon_He | zenon_intro zenon_H179 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H17b | zenon_intro zenon_H17a ].
% 0.69/0.88  exact (zenon_H175 zenon_H17b).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H17d | zenon_intro zenon_H17c ].
% 0.69/0.88  exact (zenon_H17d zenon_H176).
% 0.69/0.88  exact (zenon_H17c zenon_H177).
% 0.69/0.88  (* end of lemma zenon_L99_ *)
% 0.69/0.88  assert (zenon_L100_ : (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))) -> (ndr1_0) -> (~(c1_1 (a2130))) -> (~(c2_1 (a2130))) -> (~(c3_1 (a2130))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H17e zenon_Hf zenon_H17f zenon_H180 zenon_H181.
% 0.69/0.88  generalize (zenon_H17e (a2130)). zenon_intro zenon_H182.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H182); [ zenon_intro zenon_He | zenon_intro zenon_H183 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H185 | zenon_intro zenon_H184 ].
% 0.69/0.88  exact (zenon_H17f zenon_H185).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H187 | zenon_intro zenon_H186 ].
% 0.69/0.88  exact (zenon_H180 zenon_H187).
% 0.69/0.88  exact (zenon_H181 zenon_H186).
% 0.69/0.88  (* end of lemma zenon_L100_ *)
% 0.69/0.88  assert (zenon_L101_ : (~(hskp14)) -> (hskp14) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H188 zenon_H189.
% 0.69/0.88  exact (zenon_H188 zenon_H189).
% 0.69/0.88  (* end of lemma zenon_L101_ *)
% 0.69/0.88  assert (zenon_L102_ : ((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> (~(hskp14)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H18a zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_H188.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Hf. zenon_intro zenon_H18c.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H17f. zenon_intro zenon_H18d.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He7 | zenon_intro zenon_H18e ].
% 0.69/0.88  apply (zenon_L99_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H189 ].
% 0.69/0.88  apply (zenon_L100_); trivial.
% 0.69/0.88  exact (zenon_H188 zenon_H189).
% 0.69/0.88  (* end of lemma zenon_L102_ *)
% 0.69/0.88  assert (zenon_L103_ : ((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H18f zenon_H190 zenon_H18b zenon_H188 zenon_H177 zenon_H176 zenon_H175 zenon_Hcf zenon_Hcc zenon_H136 zenon_H22 zenon_H9e zenon_H96 zenon_H95 zenon_H8 zenon_H88 zenon_Hc4 zenon_Hc1 zenon_H31 zenon_H163 zenon_H36 zenon_H33 zenon_H23 zenon_H191 zenon_H12d zenon_H3b.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H192.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H162. zenon_intro zenon_H193.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H161. zenon_intro zenon_H15f.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.88  apply (zenon_L86_); trivial.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H160 | zenon_intro zenon_H194 ].
% 0.69/0.88  apply (zenon_L96_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H94 | zenon_intro zenon_H24 ].
% 0.69/0.88  apply (zenon_L98_); trivial.
% 0.69/0.88  exact (zenon_H23 zenon_H24).
% 0.69/0.88  apply (zenon_L50_); trivial.
% 0.69/0.88  apply (zenon_L17_); trivial.
% 0.69/0.88  apply (zenon_L102_); trivial.
% 0.69/0.88  (* end of lemma zenon_L103_ *)
% 0.69/0.88  assert (zenon_L104_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c2_1 (a2097))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H195 zenon_Hf zenon_H196 zenon_H197 zenon_H198.
% 0.69/0.88  generalize (zenon_H195 (a2097)). zenon_intro zenon_H199.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H199); [ zenon_intro zenon_He | zenon_intro zenon_H19a ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H19c | zenon_intro zenon_H19b ].
% 0.69/0.88  exact (zenon_H196 zenon_H19c).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H19e | zenon_intro zenon_H19d ].
% 0.69/0.88  exact (zenon_H197 zenon_H19e).
% 0.69/0.88  exact (zenon_H198 zenon_H19d).
% 0.69/0.88  (* end of lemma zenon_L104_ *)
% 0.69/0.88  assert (zenon_L105_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp3)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H19f zenon_H198 zenon_H197 zenon_H196 zenon_Hf zenon_H3 zenon_H41.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a0 ].
% 0.69/0.88  apply (zenon_L104_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H4 | zenon_intro zenon_H42 ].
% 0.69/0.88  exact (zenon_H3 zenon_H4).
% 0.69/0.88  exact (zenon_H41 zenon_H42).
% 0.69/0.88  (* end of lemma zenon_L105_ *)
% 0.69/0.88  assert (zenon_L106_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp2)) -> (~(hskp3)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H1a1 zenon_H19f zenon_H3 zenon_H41.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198.
% 0.69/0.88  apply (zenon_L105_); trivial.
% 0.69/0.88  (* end of lemma zenon_L106_ *)
% 0.69/0.88  assert (zenon_L107_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (ndr1_0) -> (~(hskp11)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hfc zenon_H177 zenon_H176 zenon_H175 zenon_Hde zenon_Hdd zenon_Hdc zenon_Hf zenon_H31.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfe ].
% 0.69/0.88  apply (zenon_L99_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hdb | zenon_intro zenon_H32 ].
% 0.69/0.88  apply (zenon_L54_); trivial.
% 0.69/0.88  exact (zenon_H31 zenon_H32).
% 0.69/0.88  (* end of lemma zenon_L107_ *)
% 0.69/0.88  assert (zenon_L108_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H103 zenon_Hcb zenon_H64 zenon_H65 zenon_H33 zenon_H62 zenon_H8 zenon_H41 zenon_H43 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.88  apply (zenon_L107_); trivial.
% 0.69/0.88  apply (zenon_L66_); trivial.
% 0.69/0.88  (* end of lemma zenon_L108_ *)
% 0.69/0.88  assert (zenon_L109_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> ((hskp23)\/((hskp24)\/(hskp5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((hskp29)\/((hskp5)\/(hskp3))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H114 zenon_Hfc zenon_Hd0 zenon_H1a4 zenon_H19f zenon_H41 zenon_H153 zenon_H152 zenon_H3 zenon_H62 zenon_H151 zenon_Hb5 zenon_Hcd zenon_H95 zenon_H96 zenon_H9e zenon_H136 zenon_H130 zenon_Hc4 zenon_H191 zenon_H163 zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_H190 zenon_H1a5 zenon_H3b zenon_H36 zenon_H33 zenon_H80 zenon_Hcc zenon_H11b zenon_H23 zenon_H22 zenon_H8 zenon_H88 zenon_H6d zenon_H11f zenon_H12d zenon_Hcf zenon_H25 zenon_H3e zenon_H43 zenon_H65 zenon_H64 zenon_Hcb.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.88  apply (zenon_L81_); trivial.
% 0.69/0.88  apply (zenon_L18_); trivial.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3.
% 0.69/0.88  apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H14f | zenon_intro zenon_H18f ].
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.88  apply (zenon_L93_); trivial.
% 0.69/0.88  apply (zenon_L17_); trivial.
% 0.69/0.88  apply (zenon_L103_); trivial.
% 0.69/0.88  apply (zenon_L106_); trivial.
% 0.69/0.88  apply (zenon_L66_); trivial.
% 0.69/0.88  apply (zenon_L108_); trivial.
% 0.69/0.88  (* end of lemma zenon_L109_ *)
% 0.69/0.88  assert (zenon_L110_ : (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H4f zenon_Hf zenon_H1a6 zenon_H1a7 zenon_H1a8.
% 0.69/0.88  generalize (zenon_H4f (a2076)). zenon_intro zenon_H1a9.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H1a9); [ zenon_intro zenon_He | zenon_intro zenon_H1aa ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1ab ].
% 0.69/0.88  exact (zenon_H1a6 zenon_H1ac).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1ad ].
% 0.69/0.88  exact (zenon_H1ae zenon_H1a7).
% 0.69/0.88  exact (zenon_H1ad zenon_H1a8).
% 0.69/0.88  (* end of lemma zenon_L110_ *)
% 0.69/0.88  assert (zenon_L111_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (ndr1_0) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H65 zenon_H33 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_Hf.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H4f | zenon_intro zenon_H34 ].
% 0.69/0.88  apply (zenon_L110_); trivial.
% 0.69/0.88  exact (zenon_H33 zenon_H34).
% 0.69/0.88  (* end of lemma zenon_L111_ *)
% 0.69/0.88  assert (zenon_L112_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a2074))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H8a zenon_Hf zenon_H1af zenon_H1b0 zenon_H1b1.
% 0.69/0.88  generalize (zenon_H8a (a2074)). zenon_intro zenon_H1b2.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H1b2); [ zenon_intro zenon_He | zenon_intro zenon_H1b3 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b4 ].
% 0.69/0.88  exact (zenon_H1af zenon_H1b5).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1b6 ].
% 0.69/0.88  exact (zenon_H1b0 zenon_H1b7).
% 0.69/0.88  exact (zenon_H1b6 zenon_H1b1).
% 0.69/0.88  (* end of lemma zenon_L112_ *)
% 0.69/0.88  assert (zenon_L113_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a2074))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (c1_1 (a2074)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H10 zenon_Hf zenon_H1b0 zenon_H8a zenon_H1b1.
% 0.69/0.88  generalize (zenon_H10 (a2074)). zenon_intro zenon_H1b8.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H1b8); [ zenon_intro zenon_He | zenon_intro zenon_H1b9 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1ba ].
% 0.69/0.88  exact (zenon_H1b0 zenon_H1b7).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b6 ].
% 0.69/0.88  apply (zenon_L112_); trivial.
% 0.69/0.88  exact (zenon_H1b6 zenon_H1b1).
% 0.69/0.88  (* end of lemma zenon_L113_ *)
% 0.69/0.88  assert (zenon_L114_ : (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H1bb zenon_Hf zenon_H1b0 zenon_H1b1 zenon_H1bc.
% 0.69/0.88  generalize (zenon_H1bb (a2074)). zenon_intro zenon_H1bd.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H1bd); [ zenon_intro zenon_He | zenon_intro zenon_H1be ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1bf ].
% 0.69/0.88  exact (zenon_H1b0 zenon_H1b7).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1c0 ].
% 0.69/0.88  exact (zenon_H1b6 zenon_H1b1).
% 0.69/0.88  exact (zenon_H1c0 zenon_H1bc).
% 0.69/0.88  (* end of lemma zenon_L114_ *)
% 0.69/0.88  assert (zenon_L115_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (ndr1_0) -> (~(hskp5)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H1c1 zenon_H8a zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hf zenon_H8.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c2 ].
% 0.69/0.88  apply (zenon_L113_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H9 ].
% 0.69/0.88  apply (zenon_L114_); trivial.
% 0.69/0.88  exact (zenon_H8 zenon_H9).
% 0.69/0.88  (* end of lemma zenon_L115_ *)
% 0.69/0.88  assert (zenon_L116_ : (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H4f zenon_Hf zenon_H10 zenon_H1b0 zenon_H1b1 zenon_H1bc.
% 0.69/0.88  generalize (zenon_H4f (a2074)). zenon_intro zenon_H1c3.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H1c3); [ zenon_intro zenon_He | zenon_intro zenon_H1c4 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1bf ].
% 0.69/0.88  generalize (zenon_H10 (a2074)). zenon_intro zenon_H1b8.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H1b8); [ zenon_intro zenon_He | zenon_intro zenon_H1b9 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1ba ].
% 0.69/0.88  exact (zenon_H1b0 zenon_H1b7).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b6 ].
% 0.69/0.88  exact (zenon_H1af zenon_H1b5).
% 0.69/0.88  exact (zenon_H1b6 zenon_H1b1).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1c0 ].
% 0.69/0.88  exact (zenon_H1b6 zenon_H1b1).
% 0.69/0.88  exact (zenon_H1c0 zenon_H1bc).
% 0.69/0.88  (* end of lemma zenon_L116_ *)
% 0.69/0.88  assert (zenon_L117_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H65 zenon_H33 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H10 zenon_Hf.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H4f | zenon_intro zenon_H34 ].
% 0.69/0.88  apply (zenon_L116_); trivial.
% 0.69/0.88  exact (zenon_H33 zenon_H34).
% 0.69/0.88  (* end of lemma zenon_L117_ *)
% 0.69/0.88  assert (zenon_L118_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5))) -> (ndr1_0) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> (~(hskp0)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp9)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_Hcd zenon_H8 zenon_H1c1 zenon_Hf zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H33 zenon_H65 zenon_Hb5.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ].
% 0.69/0.88  apply (zenon_L115_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ].
% 0.69/0.88  apply (zenon_L117_); trivial.
% 0.69/0.88  exact (zenon_Hb5 zenon_Hb6).
% 0.69/0.88  (* end of lemma zenon_L118_ *)
% 0.69/0.88  assert (zenon_L119_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2116))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (ndr1_0) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H1c5 zenon_H11 zenon_H13 zenon_H14 zenon_H20 zenon_H22 zenon_Hde zenon_Hdd zenon_Hdc zenon_Hf zenon_H1b0 zenon_H1b1 zenon_H1bc.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H12 | zenon_intro zenon_H1c6 ].
% 0.69/0.88  apply (zenon_L11_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1bb ].
% 0.69/0.88  apply (zenon_L54_); trivial.
% 0.69/0.88  apply (zenon_L114_); trivial.
% 0.69/0.88  (* end of lemma zenon_L119_ *)
% 0.69/0.88  assert (zenon_L120_ : (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c0_1 (a2140))) -> (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (c2_1 (a2140)) -> (c3_1 (a2140)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_He7 zenon_Hf zenon_H28 zenon_H165 zenon_H29 zenon_H2a.
% 0.69/0.88  generalize (zenon_He7 (a2140)). zenon_intro zenon_He9.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_He9); [ zenon_intro zenon_He | zenon_intro zenon_Hea ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H2e | zenon_intro zenon_Heb ].
% 0.69/0.88  exact (zenon_H28 zenon_H2e).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hec | zenon_intro zenon_H30 ].
% 0.69/0.88  generalize (zenon_H165 (a2140)). zenon_intro zenon_H1c7.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H1c7); [ zenon_intro zenon_He | zenon_intro zenon_H1c8 ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2d ].
% 0.69/0.88  exact (zenon_Hec zenon_Hf0).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 0.69/0.88  exact (zenon_H30 zenon_H29).
% 0.69/0.88  exact (zenon_H2f zenon_H2a).
% 0.69/0.88  exact (zenon_H30 zenon_H29).
% 0.69/0.88  (* end of lemma zenon_L120_ *)
% 0.69/0.88  assert (zenon_L121_ : ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (~(c2_1 (a2074))) -> (ndr1_0) -> (~(hskp3)) -> False).
% 0.69/0.88  do 0 intro. intros zenon_H1c9 zenon_H2a zenon_H29 zenon_H28 zenon_He7 zenon_H1bc zenon_H1b1 zenon_H8a zenon_H1b0 zenon_Hf zenon_H41.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H165 | zenon_intro zenon_H1ca ].
% 0.69/0.88  apply (zenon_L120_); trivial.
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1cb | zenon_intro zenon_H42 ].
% 0.69/0.88  generalize (zenon_H1cb (a2074)). zenon_intro zenon_H1cc.
% 0.69/0.88  apply (zenon_imply_s _ _ zenon_H1cc); [ zenon_intro zenon_He | zenon_intro zenon_H1cd ].
% 0.69/0.88  exact (zenon_He zenon_Hf).
% 0.69/0.88  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1ce ].
% 0.69/0.88  exact (zenon_H1b0 zenon_H1b7).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1af | zenon_intro zenon_H1c0 ].
% 0.69/0.89  apply (zenon_L112_); trivial.
% 0.69/0.89  exact (zenon_H1c0 zenon_H1bc).
% 0.69/0.89  exact (zenon_H41 zenon_H42).
% 0.69/0.89  (* end of lemma zenon_L121_ *)
% 0.69/0.89  assert (zenon_L122_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (~(hskp11)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(hskp3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (~(hskp8)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H35 zenon_He5 zenon_H31 zenon_H1c9 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H41 zenon_Hfc zenon_Hde zenon_Hdd zenon_Hdc zenon_H7c.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H8a | zenon_intro zenon_He6 ].
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfe ].
% 0.69/0.89  apply (zenon_L121_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hdb | zenon_intro zenon_H32 ].
% 0.69/0.89  apply (zenon_L54_); trivial.
% 0.69/0.89  exact (zenon_H31 zenon_H32).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H7d ].
% 0.69/0.89  apply (zenon_L54_); trivial.
% 0.69/0.89  exact (zenon_H7c zenon_H7d).
% 0.69/0.89  (* end of lemma zenon_L122_ *)
% 0.69/0.89  assert (zenon_L123_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(hskp3)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hc8 zenon_H1cf zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H41.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d0 ].
% 0.69/0.89  apply (zenon_L23_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H42 ].
% 0.69/0.89  apply (zenon_L114_); trivial.
% 0.69/0.89  exact (zenon_H41 zenon_H42).
% 0.69/0.89  (* end of lemma zenon_L123_ *)
% 0.69/0.89  assert (zenon_L124_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H103 zenon_Hcb zenon_H1cf zenon_H3e zenon_H3b zenon_He5 zenon_H1c9 zenon_Hfc zenon_H22 zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H6d zenon_H43 zenon_H41 zenon_H8 zenon_H7c zenon_H7e zenon_H64 zenon_H80 zenon_Hd0.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.89  apply (zenon_L36_); trivial.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.89  apply (zenon_L119_); trivial.
% 0.69/0.89  apply (zenon_L122_); trivial.
% 0.69/0.89  apply (zenon_L59_); trivial.
% 0.69/0.89  apply (zenon_L123_); trivial.
% 0.69/0.89  (* end of lemma zenon_L124_ *)
% 0.69/0.89  assert (zenon_L125_ : (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H165 zenon_Hf zenon_H106 zenon_H107 zenon_H108.
% 0.69/0.89  generalize (zenon_H165 (a2084)). zenon_intro zenon_H1d1.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H1d1); [ zenon_intro zenon_He | zenon_intro zenon_H1d2 ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H10c | zenon_intro zenon_H111 ].
% 0.69/0.89  exact (zenon_H106 zenon_H10c).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H113 | zenon_intro zenon_H10d ].
% 0.69/0.89  exact (zenon_H113 zenon_H107).
% 0.69/0.89  exact (zenon_H10d zenon_H108).
% 0.69/0.89  (* end of lemma zenon_L125_ *)
% 0.69/0.89  assert (zenon_L126_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp26)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H1d3 zenon_H48 zenon_H47 zenon_H46 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H11d.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d4 ].
% 0.69/0.89  apply (zenon_L23_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H165 | zenon_intro zenon_H11e ].
% 0.69/0.89  apply (zenon_L125_); trivial.
% 0.69/0.89  exact (zenon_H11d zenon_H11e).
% 0.69/0.89  (* end of lemma zenon_L126_ *)
% 0.69/0.89  assert (zenon_L127_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H12a zenon_H65 zenon_H33 zenon_H46 zenon_H47 zenon_H48 zenon_H1b1 zenon_H1bc zenon_H62.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H4f | zenon_intro zenon_H34 ].
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ].
% 0.69/0.89  apply (zenon_L23_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ].
% 0.69/0.89  generalize (zenon_H59 (a2074)). zenon_intro zenon_H1d5.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H1d5); [ zenon_intro zenon_He | zenon_intro zenon_H1d6 ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1af | zenon_intro zenon_H1bf ].
% 0.69/0.89  generalize (zenon_H4f (a2074)). zenon_intro zenon_H1c3.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H1c3); [ zenon_intro zenon_He | zenon_intro zenon_H1c4 ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1bf ].
% 0.69/0.89  exact (zenon_H1af zenon_H1b5).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1c0 ].
% 0.69/0.89  exact (zenon_H1b6 zenon_H1b1).
% 0.69/0.89  exact (zenon_H1c0 zenon_H1bc).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1c0 ].
% 0.69/0.89  exact (zenon_H1b6 zenon_H1b1).
% 0.69/0.89  exact (zenon_H1c0 zenon_H1bc).
% 0.69/0.89  apply (zenon_L76_); trivial.
% 0.69/0.89  exact (zenon_H33 zenon_H34).
% 0.69/0.89  (* end of lemma zenon_L127_ *)
% 0.69/0.89  assert (zenon_L128_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hc8 zenon_H12d zenon_H65 zenon_H33 zenon_H1b1 zenon_H1bc zenon_H62 zenon_H106 zenon_H107 zenon_H108 zenon_H1d3.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.89  apply (zenon_L126_); trivial.
% 0.69/0.89  apply (zenon_L127_); trivial.
% 0.69/0.89  (* end of lemma zenon_L128_ *)
% 0.69/0.89  assert (zenon_L129_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hcb zenon_H12d zenon_H65 zenon_H1b1 zenon_H1bc zenon_H62 zenon_H1d3 zenon_Hc4 zenon_Hc1 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H33 zenon_H36.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.89  apply (zenon_L65_); trivial.
% 0.69/0.89  apply (zenon_L128_); trivial.
% 0.69/0.89  (* end of lemma zenon_L129_ *)
% 0.69/0.89  assert (zenon_L130_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H103 zenon_Hcb zenon_H1cf zenon_H41 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.89  apply (zenon_L107_); trivial.
% 0.69/0.89  apply (zenon_L123_); trivial.
% 0.69/0.89  (* end of lemma zenon_L130_ *)
% 0.69/0.89  assert (zenon_L131_ : ((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H1d7 zenon_H115 zenon_H114 zenon_H1cf zenon_H41 zenon_Hfc zenon_H36 zenon_Hc4 zenon_H1d3 zenon_H62 zenon_H12d zenon_Hcb zenon_H1c1 zenon_H8 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H65 zenon_H33 zenon_Hcd.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.69/0.89  apply (zenon_L118_); trivial.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.89  apply (zenon_L129_); trivial.
% 0.69/0.89  apply (zenon_L130_); trivial.
% 0.69/0.89  (* end of lemma zenon_L131_ *)
% 0.69/0.89  assert (zenon_L132_ : ((ndr1_0)/\((c1_1 (a2076))/\((c3_1 (a2076))/\(~(c0_1 (a2076)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H1da zenon_H65 zenon_H33.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6.
% 0.69/0.89  apply (zenon_L111_); trivial.
% 0.69/0.89  (* end of lemma zenon_L132_ *)
% 0.69/0.89  assert (zenon_L133_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp8)) -> (~(hskp1)) -> ((hskp6)\/((hskp5)\/(hskp18))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hcb zenon_Ha5 zenon_H7c zenon_Ha3 zenon_Hc zenon_H8 zenon_H6 zenon_H25 zenon_H23 zenon_H22 zenon_H33 zenon_H36 zenon_H3b zenon_H3e.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.89  apply (zenon_L19_); trivial.
% 0.69/0.89  apply (zenon_L51_); trivial.
% 0.69/0.89  (* end of lemma zenon_L133_ *)
% 0.69/0.89  assert (zenon_L134_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (c2_1 (a2072)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_He8 zenon_Hf zenon_H1dd zenon_H1de zenon_H1df.
% 0.69/0.89  generalize (zenon_He8 (a2072)). zenon_intro zenon_H1e0.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H1e0); [ zenon_intro zenon_He | zenon_intro zenon_H1e1 ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e2 ].
% 0.69/0.89  exact (zenon_H1dd zenon_H1e3).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e4 ].
% 0.69/0.89  exact (zenon_H1de zenon_H1e5).
% 0.69/0.89  exact (zenon_H1e4 zenon_H1df).
% 0.69/0.89  (* end of lemma zenon_L134_ *)
% 0.69/0.89  assert (zenon_L135_ : (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))) -> (ndr1_0) -> (~(c1_1 (a2072))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H17e zenon_Hf zenon_H1de zenon_He8 zenon_H1dd zenon_H1e6.
% 0.69/0.89  generalize (zenon_H17e (a2072)). zenon_intro zenon_H1e7.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H1e7); [ zenon_intro zenon_He | zenon_intro zenon_H1e8 ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e9 ].
% 0.69/0.89  exact (zenon_H1de zenon_H1e5).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1df | zenon_intro zenon_H1ea ].
% 0.69/0.89  apply (zenon_L134_); trivial.
% 0.69/0.89  exact (zenon_H1e6 zenon_H1ea).
% 0.69/0.89  (* end of lemma zenon_L135_ *)
% 0.69/0.89  assert (zenon_L136_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> (~(c3_1 (a2072))) -> (~(c0_1 (a2072))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a2072))) -> (ndr1_0) -> (~(hskp14)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_H1e6 zenon_H1dd zenon_He8 zenon_H1de zenon_Hf zenon_H188.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He7 | zenon_intro zenon_H18e ].
% 0.69/0.89  apply (zenon_L99_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H189 ].
% 0.69/0.89  apply (zenon_L135_); trivial.
% 0.69/0.89  exact (zenon_H188 zenon_H189).
% 0.69/0.89  (* end of lemma zenon_L136_ *)
% 0.69/0.89  assert (zenon_L137_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(hskp14)) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(c1_1 (a2110))) -> (c0_1 (a2110)) -> (c2_1 (a2110)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H35 zenon_Hfb zenon_H188 zenon_H1de zenon_H1dd zenon_H1e6 zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_Hf2 zenon_Hf3 zenon_Hf4.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ].
% 0.69/0.89  apply (zenon_L136_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ].
% 0.69/0.89  apply (zenon_L14_); trivial.
% 0.69/0.89  apply (zenon_L57_); trivial.
% 0.69/0.89  (* end of lemma zenon_L137_ *)
% 0.69/0.89  assert (zenon_L138_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c2_1 (a2110)) -> (c0_1 (a2110)) -> (~(c1_1 (a2110))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp14)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H3a zenon_H3b zenon_Hfb zenon_Hf4 zenon_Hf3 zenon_Hf2 zenon_H175 zenon_H176 zenon_H177 zenon_H1de zenon_H1dd zenon_H1e6 zenon_H188 zenon_H18b zenon_H22 zenon_H8 zenon_H23 zenon_H25.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.89  apply (zenon_L13_); trivial.
% 0.69/0.89  apply (zenon_L137_); trivial.
% 0.69/0.89  (* end of lemma zenon_L138_ *)
% 0.69/0.89  assert (zenon_L139_ : ((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp14)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp6)\/((hskp5)\/(hskp18))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H100 zenon_H3e zenon_H3b zenon_Hfb zenon_H175 zenon_H176 zenon_H177 zenon_H1de zenon_H1dd zenon_H1e6 zenon_H188 zenon_H18b zenon_H22 zenon_H23 zenon_H25 zenon_H6 zenon_H8 zenon_Hc.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.89  apply (zenon_L7_); trivial.
% 0.69/0.89  apply (zenon_L138_); trivial.
% 0.69/0.89  (* end of lemma zenon_L139_ *)
% 0.69/0.89  assert (zenon_L140_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp14)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp6)\/((hskp5)\/(hskp18))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hff zenon_H3e zenon_H3b zenon_Hfb zenon_H175 zenon_H176 zenon_H177 zenon_H1de zenon_H1dd zenon_H1e6 zenon_H188 zenon_H18b zenon_H22 zenon_H23 zenon_H25 zenon_H6 zenon_H8 zenon_Hc zenon_H3 zenon_H5.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ].
% 0.69/0.89  apply (zenon_L3_); trivial.
% 0.69/0.89  apply (zenon_L139_); trivial.
% 0.69/0.89  (* end of lemma zenon_L140_ *)
% 0.69/0.89  assert (zenon_L141_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp1)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H1eb zenon_H198 zenon_H197 zenon_H196 zenon_Hf zenon_H11d zenon_Ha3.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H195 | zenon_intro zenon_H1ec ].
% 0.69/0.89  apply (zenon_L104_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H11e | zenon_intro zenon_Ha4 ].
% 0.69/0.89  exact (zenon_H11d zenon_H11e).
% 0.69/0.89  exact (zenon_Ha3 zenon_Ha4).
% 0.69/0.89  (* end of lemma zenon_L141_ *)
% 0.69/0.89  assert (zenon_L142_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (~(hskp0)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H12a zenon_H1ed zenon_H198 zenon_H197 zenon_H196 zenon_H33.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H195 | zenon_intro zenon_H1ee ].
% 0.69/0.89  apply (zenon_L104_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H5c | zenon_intro zenon_H34 ].
% 0.69/0.89  apply (zenon_L76_); trivial.
% 0.69/0.89  exact (zenon_H33 zenon_H34).
% 0.69/0.89  (* end of lemma zenon_L142_ *)
% 0.69/0.89  assert (zenon_L143_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H1a1 zenon_H12d zenon_H1ed zenon_H33 zenon_Ha3 zenon_H1eb.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.89  apply (zenon_L141_); trivial.
% 0.69/0.89  apply (zenon_L142_); trivial.
% 0.69/0.89  (* end of lemma zenon_L143_ *)
% 0.69/0.89  assert (zenon_L144_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H1ef zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6.
% 0.69/0.89  generalize (zenon_H1ef (a2072)). zenon_intro zenon_H1f0.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H1f0); [ zenon_intro zenon_He | zenon_intro zenon_H1f1 ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1f2 ].
% 0.69/0.89  exact (zenon_H1dd zenon_H1e3).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1ea ].
% 0.69/0.89  exact (zenon_H1de zenon_H1e5).
% 0.69/0.89  exact (zenon_H1e6 zenon_H1ea).
% 0.69/0.89  (* end of lemma zenon_L144_ *)
% 0.69/0.89  assert (zenon_L145_ : (~(hskp28)) -> (hskp28) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H1f3 zenon_H1f4.
% 0.69/0.89  exact (zenon_H1f3 zenon_H1f4).
% 0.69/0.89  (* end of lemma zenon_L145_ *)
% 0.69/0.89  assert (zenon_L146_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp5)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H1f5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hf zenon_H1f3 zenon_H8.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f6 ].
% 0.69/0.89  apply (zenon_L144_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H9 ].
% 0.69/0.89  exact (zenon_H1f3 zenon_H1f4).
% 0.69/0.89  exact (zenon_H8 zenon_H9).
% 0.69/0.89  (* end of lemma zenon_L146_ *)
% 0.69/0.89  assert (zenon_L147_ : (forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67)))))) -> (ndr1_0) -> (~(c2_1 (a2078))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H1f7 zenon_Hf zenon_H96 zenon_H94 zenon_H95 zenon_H9e.
% 0.69/0.89  generalize (zenon_H1f7 (a2078)). zenon_intro zenon_H1f8.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H1f8); [ zenon_intro zenon_He | zenon_intro zenon_H1f9 ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H9d | zenon_intro zenon_Ha1 ].
% 0.69/0.89  exact (zenon_H96 zenon_H9d).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H97 | zenon_intro zenon_Ha2 ].
% 0.69/0.89  apply (zenon_L42_); trivial.
% 0.69/0.89  exact (zenon_Ha2 zenon_H9e).
% 0.69/0.89  (* end of lemma zenon_L147_ *)
% 0.69/0.89  assert (zenon_L148_ : (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (ndr1_0) -> (c0_1 (a2075)) -> (c1_1 (a2075)) -> (c2_1 (a2075)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H159 zenon_Hf zenon_H1fa zenon_H1fb zenon_H1fc.
% 0.69/0.89  generalize (zenon_H159 (a2075)). zenon_intro zenon_H1fd.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H1fd); [ zenon_intro zenon_He | zenon_intro zenon_H1fe ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H200 | zenon_intro zenon_H1ff ].
% 0.69/0.89  exact (zenon_H200 zenon_H1fa).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H202 | zenon_intro zenon_H201 ].
% 0.69/0.89  exact (zenon_H202 zenon_H1fb).
% 0.69/0.89  exact (zenon_H201 zenon_H1fc).
% 0.69/0.89  (* end of lemma zenon_L148_ *)
% 0.69/0.89  assert (zenon_L149_ : ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (c0_1 (a2078)) -> (~(c1_1 (a2078))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c2_1 (a2078))) -> (c2_1 (a2075)) -> (c1_1 (a2075)) -> (c0_1 (a2075)) -> (ndr1_0) -> (~(hskp11)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H203 zenon_H9e zenon_H95 zenon_H94 zenon_H96 zenon_H1fc zenon_H1fb zenon_H1fa zenon_Hf zenon_H31.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H204 ].
% 0.69/0.89  apply (zenon_L147_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H159 | zenon_intro zenon_H32 ].
% 0.69/0.89  apply (zenon_L148_); trivial.
% 0.69/0.89  exact (zenon_H31 zenon_H32).
% 0.69/0.89  (* end of lemma zenon_L149_ *)
% 0.69/0.89  assert (zenon_L150_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c0_1 (a2073)) -> (c3_1 (a2073)) -> (c1_1 (a2073)) -> (forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H22 zenon_H20 zenon_Ha9 zenon_Ha8 zenon_Ha7 zenon_H79 zenon_Hf.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H10 | zenon_intro zenon_H21 ].
% 0.69/0.89  apply (zenon_L46_); trivial.
% 0.69/0.89  exact (zenon_H20 zenon_H21).
% 0.69/0.89  (* end of lemma zenon_L150_ *)
% 0.69/0.89  assert (zenon_L151_ : ((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp11)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp8)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H205 zenon_Hce zenon_H31 zenon_H96 zenon_H95 zenon_H9e zenon_H203 zenon_Ha7 zenon_Ha8 zenon_Ha9 zenon_H20 zenon_H22 zenon_H7c.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_Hf. zenon_intro zenon_H206.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H1fa. zenon_intro zenon_H207.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1fb. zenon_intro zenon_H1fc.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H94 | zenon_intro zenon_H7f ].
% 0.69/0.89  apply (zenon_L149_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H79 | zenon_intro zenon_H7d ].
% 0.69/0.89  apply (zenon_L150_); trivial.
% 0.69/0.89  exact (zenon_H7c zenon_H7d).
% 0.69/0.89  (* end of lemma zenon_L151_ *)
% 0.69/0.89  assert (zenon_L152_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> (~(hskp11)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hd4 zenon_H208 zenon_Hce zenon_H7c zenon_H20 zenon_H22 zenon_H96 zenon_H95 zenon_H9e zenon_H31 zenon_H203 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H8 zenon_H1f5.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H205 ].
% 0.69/0.89  apply (zenon_L146_); trivial.
% 0.69/0.89  apply (zenon_L151_); trivial.
% 0.69/0.89  (* end of lemma zenon_L152_ *)
% 0.69/0.89  assert (zenon_L153_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a2078)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hcf zenon_Hc4 zenon_Hc1 zenon_H88 zenon_H8 zenon_H1f5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H203 zenon_H31 zenon_H9e zenon_H95 zenon_H96 zenon_H22 zenon_H20 zenon_H7c zenon_Hce zenon_H208 zenon_Hcc.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.89  apply (zenon_L40_); trivial.
% 0.69/0.89  apply (zenon_L152_); trivial.
% 0.69/0.89  apply (zenon_L50_); trivial.
% 0.69/0.89  (* end of lemma zenon_L153_ *)
% 0.69/0.89  assert (zenon_L154_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> (~(hskp11)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H3b zenon_H36 zenon_H33 zenon_Hcc zenon_H208 zenon_Hce zenon_H7c zenon_H22 zenon_H96 zenon_H95 zenon_H9e zenon_H31 zenon_H203 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1f5 zenon_H8 zenon_H88 zenon_Hc1 zenon_Hc4 zenon_Hcf.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.89  apply (zenon_L153_); trivial.
% 0.69/0.89  apply (zenon_L17_); trivial.
% 0.69/0.89  (* end of lemma zenon_L154_ *)
% 0.69/0.89  assert (zenon_L155_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (c0_1 (a2078)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hcb zenon_Ha5 zenon_Ha3 zenon_Hcf zenon_Hc4 zenon_Hc1 zenon_H88 zenon_H8 zenon_H1f5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H203 zenon_H9e zenon_H95 zenon_H96 zenon_H22 zenon_H7c zenon_Hce zenon_H208 zenon_Hcc zenon_H33 zenon_H36 zenon_H3b.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.89  apply (zenon_L154_); trivial.
% 0.69/0.89  apply (zenon_L51_); trivial.
% 0.69/0.89  (* end of lemma zenon_L155_ *)
% 0.69/0.89  assert (zenon_L156_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp4)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H103 zenon_H209 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H23.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1ef | zenon_intro zenon_H20a ].
% 0.69/0.89  apply (zenon_L144_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_Hdb | zenon_intro zenon_H24 ].
% 0.69/0.89  apply (zenon_L54_); trivial.
% 0.69/0.89  exact (zenon_H23 zenon_H24).
% 0.69/0.89  (* end of lemma zenon_L156_ *)
% 0.69/0.89  assert (zenon_L157_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> (~(hskp1)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H114 zenon_H209 zenon_H23 zenon_H3b zenon_H36 zenon_H33 zenon_Hcc zenon_H208 zenon_Hce zenon_H7c zenon_H22 zenon_H96 zenon_H95 zenon_H9e zenon_H203 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1f5 zenon_H8 zenon_H88 zenon_Hc4 zenon_Hcf zenon_Ha3 zenon_Ha5 zenon_Hcb.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.89  apply (zenon_L155_); trivial.
% 0.69/0.89  apply (zenon_L156_); trivial.
% 0.69/0.89  (* end of lemma zenon_L157_ *)
% 0.69/0.89  assert (zenon_L158_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19))))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H12 zenon_Hf zenon_H1dd zenon_He8 zenon_H1de zenon_H1e6.
% 0.69/0.89  generalize (zenon_H12 (a2072)). zenon_intro zenon_H20b.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H20b); [ zenon_intro zenon_He | zenon_intro zenon_H20c ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e9 ].
% 0.69/0.89  exact (zenon_H1dd zenon_H1e3).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1df | zenon_intro zenon_H1ea ].
% 0.69/0.89  apply (zenon_L134_); trivial.
% 0.69/0.89  exact (zenon_H1e6 zenon_H1ea).
% 0.69/0.89  (* end of lemma zenon_L158_ *)
% 0.69/0.89  assert (zenon_L159_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a2072))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp4)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H25 zenon_H1e6 zenon_H1de zenon_He8 zenon_H1dd zenon_Hf zenon_H8 zenon_H23.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H12 | zenon_intro zenon_H26 ].
% 0.69/0.89  apply (zenon_L158_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H9 | zenon_intro zenon_H24 ].
% 0.69/0.89  exact (zenon_H8 zenon_H9).
% 0.69/0.89  exact (zenon_H23 zenon_H24).
% 0.69/0.89  (* end of lemma zenon_L159_ *)
% 0.69/0.89  assert (zenon_L160_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp4)) -> (~(hskp5)) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp27)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H20d zenon_H23 zenon_H8 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H25 zenon_H84.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1ef | zenon_intro zenon_H20e ].
% 0.69/0.89  apply (zenon_L144_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_He8 | zenon_intro zenon_H85 ].
% 0.69/0.89  apply (zenon_L159_); trivial.
% 0.69/0.89  exact (zenon_H84 zenon_H85).
% 0.69/0.89  (* end of lemma zenon_L160_ *)
% 0.69/0.89  assert (zenon_L161_ : ((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (c1_1 (a2095)) -> (~(c2_1 (a2095))) -> (~(c0_1 (a2095))) -> (~(hskp4)) -> (c0_1 (a2073)) -> (c3_1 (a2073)) -> (c1_1 (a2073)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> (~(hskp11)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (c2_1 (a2160)) -> (c1_1 (a2160)) -> (~(c3_1 (a2160))) -> (~(hskp16)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp9)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H205 zenon_Hcd zenon_H8d zenon_H8c zenon_H8b zenon_H23 zenon_Ha9 zenon_Ha8 zenon_Ha7 zenon_H151 zenon_H31 zenon_H96 zenon_H95 zenon_H9e zenon_H203 zenon_H14a zenon_H142 zenon_H141 zenon_H14f zenon_H11b zenon_Hb5.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_Hf. zenon_intro zenon_H206.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H1fa. zenon_intro zenon_H207.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1fb. zenon_intro zenon_H1fc.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ].
% 0.69/0.89  apply (zenon_L41_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ].
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11c ].
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H94 | zenon_intro zenon_H158 ].
% 0.69/0.89  apply (zenon_L149_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H149 | zenon_intro zenon_H150 ].
% 0.69/0.89  apply (zenon_L91_); trivial.
% 0.69/0.89  exact (zenon_H14f zenon_H150).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H5c | zenon_intro zenon_H24 ].
% 0.69/0.89  apply (zenon_L70_); trivial.
% 0.69/0.89  exact (zenon_H23 zenon_H24).
% 0.69/0.89  exact (zenon_Hb5 zenon_Hb6).
% 0.69/0.89  (* end of lemma zenon_L161_ *)
% 0.69/0.89  assert (zenon_L162_ : ((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> (~(hskp11)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (c1_1 (a2095)) -> (~(c2_1 (a2095))) -> (~(c0_1 (a2095))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H154 zenon_Hcc zenon_H208 zenon_Hcd zenon_Hb5 zenon_H151 zenon_H14f zenon_H96 zenon_H95 zenon_H9e zenon_H31 zenon_H203 zenon_H11b zenon_H8d zenon_H8c zenon_H8b zenon_H1f5 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H25 zenon_H23 zenon_H8 zenon_H20d.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H155.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H142. zenon_intro zenon_H156.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14a. zenon_intro zenon_H141.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.89  apply (zenon_L160_); trivial.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H205 ].
% 0.69/0.89  apply (zenon_L146_); trivial.
% 0.69/0.89  apply (zenon_L161_); trivial.
% 0.69/0.89  (* end of lemma zenon_L162_ *)
% 0.69/0.89  assert (zenon_L163_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> ((hskp23)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(c0_1 (a2095))) -> (~(c2_1 (a2095))) -> (c1_1 (a2095)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a2078)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hcf zenon_Hc4 zenon_Hc1 zenon_H130 zenon_H8 zenon_H20d zenon_H23 zenon_H25 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H1f5 zenon_H8b zenon_H8c zenon_H8d zenon_H11b zenon_H203 zenon_H31 zenon_H9e zenon_H95 zenon_H96 zenon_H14f zenon_H151 zenon_Hb5 zenon_Hcd zenon_H208 zenon_Hcc zenon_H153.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H12e | zenon_intro zenon_H154 ].
% 0.69/0.89  apply (zenon_L83_); trivial.
% 0.69/0.89  apply (zenon_L162_); trivial.
% 0.69/0.89  apply (zenon_L50_); trivial.
% 0.69/0.89  (* end of lemma zenon_L163_ *)
% 0.69/0.89  assert (zenon_L164_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> ((hskp23)\/((hskp24)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (c0_1 (a2078)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> (~(hskp11)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hd0 zenon_Hc4 zenon_Hc1 zenon_H130 zenon_H20d zenon_H1f5 zenon_H203 zenon_H9e zenon_H95 zenon_H96 zenon_H151 zenon_Hb5 zenon_Hcd zenon_H208 zenon_H153 zenon_H191 zenon_H163 zenon_H136 zenon_H190 zenon_H1a5 zenon_Hff zenon_H3e zenon_Hfb zenon_H175 zenon_H176 zenon_H177 zenon_H1de zenon_H1dd zenon_H1e6 zenon_H18b zenon_H25 zenon_Hcf zenon_H12d zenon_H11f zenon_H6d zenon_H88 zenon_H8 zenon_H22 zenon_H23 zenon_H11b zenon_Hcc zenon_H80 zenon_H31 zenon_H33 zenon_H36 zenon_H3b zenon_H3 zenon_H5 zenon_H1eb zenon_Ha3 zenon_H1ed zenon_H1a4.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ].
% 0.69/0.89  apply (zenon_L3_); trivial.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.89  apply (zenon_L81_); trivial.
% 0.69/0.89  apply (zenon_L138_); trivial.
% 0.69/0.89  apply (zenon_L143_); trivial.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H14f | zenon_intro zenon_H18f ].
% 0.69/0.89  apply (zenon_L163_); trivial.
% 0.69/0.89  apply (zenon_L103_); trivial.
% 0.69/0.89  apply (zenon_L143_); trivial.
% 0.69/0.89  (* end of lemma zenon_L164_ *)
% 0.69/0.89  assert (zenon_L165_ : (forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (ndr1_0) -> (c0_1 (a2073)) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H59 zenon_Hf zenon_Ha9 zenon_Ha7 zenon_Ha8.
% 0.69/0.89  generalize (zenon_H59 (a2073)). zenon_intro zenon_H20f.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H20f); [ zenon_intro zenon_He | zenon_intro zenon_H210 ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hb4 | zenon_intro zenon_H211 ].
% 0.69/0.89  exact (zenon_Hb4 zenon_Ha9).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ].
% 0.69/0.89  exact (zenon_Hb1 zenon_Ha7).
% 0.69/0.89  exact (zenon_Hb2 zenon_Ha8).
% 0.69/0.89  (* end of lemma zenon_L165_ *)
% 0.69/0.89  assert (zenon_L166_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (c0_1 (a2069)) -> (c2_1 (a2069)) -> (c3_1 (a2069)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hd4 zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H121 zenon_H122 zenon_H123.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ].
% 0.69/0.89  apply (zenon_L23_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ].
% 0.69/0.89  apply (zenon_L165_); trivial.
% 0.69/0.89  apply (zenon_L76_); trivial.
% 0.69/0.89  (* end of lemma zenon_L166_ *)
% 0.69/0.89  assert (zenon_L167_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H12a zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H25 zenon_H23 zenon_H8 zenon_H20d.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.89  apply (zenon_L160_); trivial.
% 0.69/0.89  apply (zenon_L166_); trivial.
% 0.69/0.89  (* end of lemma zenon_L167_ *)
% 0.69/0.89  assert (zenon_L168_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(hskp23)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H12d zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H25 zenon_H23 zenon_H20d zenon_H88 zenon_H8 zenon_H86 zenon_H95 zenon_H96 zenon_H9e zenon_H22 zenon_H20 zenon_H136 zenon_Hcc.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.89  apply (zenon_L86_); trivial.
% 0.69/0.89  apply (zenon_L167_); trivial.
% 0.69/0.89  (* end of lemma zenon_L168_ *)
% 0.69/0.89  assert (zenon_L169_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hc3 zenon_H12d zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H25 zenon_H23 zenon_H20d zenon_H8 zenon_H11f.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.89  apply (zenon_L75_); trivial.
% 0.69/0.89  apply (zenon_L167_); trivial.
% 0.69/0.89  (* end of lemma zenon_L169_ *)
% 0.69/0.89  assert (zenon_L170_ : ((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (~(hskp26)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H205 zenon_H212 zenon_H2a zenon_H29 zenon_H28 zenon_H11d.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_Hf. zenon_intro zenon_H206.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H1fa. zenon_intro zenon_H207.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1fb. zenon_intro zenon_H1fc.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ].
% 0.69/0.89  apply (zenon_L14_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ].
% 0.69/0.89  apply (zenon_L148_); trivial.
% 0.69/0.89  exact (zenon_H11d zenon_H11e).
% 0.69/0.89  (* end of lemma zenon_L170_ *)
% 0.69/0.89  assert (zenon_L171_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp26)) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H208 zenon_H212 zenon_H11d zenon_H2a zenon_H29 zenon_H28 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H8 zenon_H1f5.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H205 ].
% 0.69/0.89  apply (zenon_L146_); trivial.
% 0.69/0.89  apply (zenon_L170_); trivial.
% 0.69/0.89  (* end of lemma zenon_L171_ *)
% 0.69/0.89  assert (zenon_L172_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp23)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H12a zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H86 zenon_H8 zenon_H88.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.89  apply (zenon_L40_); trivial.
% 0.69/0.89  apply (zenon_L166_); trivial.
% 0.69/0.89  (* end of lemma zenon_L172_ *)
% 0.69/0.89  assert (zenon_L173_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp23)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (ndr1_0) -> (~(c0_1 (a2140))) -> (c2_1 (a2140)) -> (c3_1 (a2140)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H12d zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H86 zenon_H88 zenon_H1f5 zenon_H8 zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hf zenon_H28 zenon_H29 zenon_H2a zenon_H212 zenon_H208.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.89  apply (zenon_L171_); trivial.
% 0.69/0.89  apply (zenon_L172_); trivial.
% 0.69/0.89  (* end of lemma zenon_L173_ *)
% 0.69/0.89  assert (zenon_L174_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H35 zenon_Hcf zenon_H25 zenon_H23 zenon_H20d zenon_H11f zenon_H208 zenon_H212 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H8 zenon_H1f5 zenon_H88 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_Hcc zenon_H12d.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.89  apply (zenon_L173_); trivial.
% 0.69/0.89  apply (zenon_L169_); trivial.
% 0.69/0.89  (* end of lemma zenon_L174_ *)
% 0.69/0.89  assert (zenon_L175_ : (~(hskp7)) -> (hskp7) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H214 zenon_H215.
% 0.69/0.89  exact (zenon_H214 zenon_H215).
% 0.69/0.89  (* end of lemma zenon_L175_ *)
% 0.69/0.89  assert (zenon_L176_ : (~(hskp15)) -> (hskp15) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H216 zenon_H217.
% 0.69/0.89  exact (zenon_H216 zenon_H217).
% 0.69/0.89  (* end of lemma zenon_L176_ *)
% 0.69/0.89  assert (zenon_L177_ : ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp15)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H218 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H214 zenon_H216.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H165 | zenon_intro zenon_H219 ].
% 0.69/0.89  apply (zenon_L125_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H215 | zenon_intro zenon_H217 ].
% 0.69/0.89  exact (zenon_H214 zenon_H215).
% 0.69/0.89  exact (zenon_H216 zenon_H217).
% 0.69/0.89  (* end of lemma zenon_L177_ *)
% 0.69/0.89  assert (zenon_L178_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c1_1 (a2078))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp26)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H1d3 zenon_H9e zenon_H96 zenon_H94 zenon_H95 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H11d.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d4 ].
% 0.69/0.89  apply (zenon_L43_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H165 | zenon_intro zenon_H11e ].
% 0.69/0.89  apply (zenon_L125_); trivial.
% 0.69/0.89  exact (zenon_H11d zenon_H11e).
% 0.69/0.89  (* end of lemma zenon_L178_ *)
% 0.69/0.89  assert (zenon_L179_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp26)\/(hskp18))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(hskp26)) -> (~(hskp18)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H21a zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_H95 zenon_H96 zenon_H9e zenon_H1d3 zenon_H11d zenon_Ha.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H94 | zenon_intro zenon_H21b ].
% 0.69/0.89  apply (zenon_L178_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H11e | zenon_intro zenon_Hb ].
% 0.69/0.89  exact (zenon_H11d zenon_H11e).
% 0.69/0.89  exact (zenon_Ha zenon_Hb).
% 0.69/0.89  (* end of lemma zenon_L179_ *)
% 0.69/0.89  assert (zenon_L180_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (ndr1_0) -> (~(hskp18)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp26)\/(hskp18))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H12d zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H25 zenon_H23 zenon_H8 zenon_H20d zenon_H1d3 zenon_H108 zenon_H107 zenon_H106 zenon_H9e zenon_H96 zenon_H95 zenon_Hf zenon_Ha zenon_H21a.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.89  apply (zenon_L179_); trivial.
% 0.69/0.89  apply (zenon_L167_); trivial.
% 0.69/0.89  (* end of lemma zenon_L180_ *)
% 0.69/0.89  assert (zenon_L181_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(c2_1 (a2116))) -> (c1_1 (a2116)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp2)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hc3 zenon_H152 zenon_H11 zenon_H14 zenon_H20 zenon_H22 zenon_H3.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H8a | zenon_intro zenon_H157 ].
% 0.69/0.89  apply (zenon_L53_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H4 ].
% 0.69/0.89  apply (zenon_L48_); trivial.
% 0.69/0.89  exact (zenon_H3 zenon_H4).
% 0.69/0.89  (* end of lemma zenon_L181_ *)
% 0.69/0.89  assert (zenon_L182_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a2116))) -> (c1_1 (a2116)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hcf zenon_H152 zenon_H3 zenon_H11 zenon_H14 zenon_Hcc zenon_H136 zenon_H20 zenon_H22 zenon_H9e zenon_H96 zenon_H95 zenon_H8 zenon_H88 zenon_H20d zenon_H23 zenon_H25 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H12d.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.89  apply (zenon_L168_); trivial.
% 0.69/0.89  apply (zenon_L181_); trivial.
% 0.69/0.89  (* end of lemma zenon_L182_ *)
% 0.69/0.89  assert (zenon_L183_ : (forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67)))))) -> (ndr1_0) -> (~(c2_1 (a2099))) -> (~(c3_1 (a2099))) -> (c0_1 (a2099)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H1f7 zenon_Hf zenon_H21c zenon_H21d zenon_H21e.
% 0.69/0.89  generalize (zenon_H1f7 (a2099)). zenon_intro zenon_H21f.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H21f); [ zenon_intro zenon_He | zenon_intro zenon_H220 ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H222 | zenon_intro zenon_H221 ].
% 0.69/0.89  exact (zenon_H21c zenon_H222).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H224 | zenon_intro zenon_H223 ].
% 0.69/0.89  exact (zenon_H21d zenon_H224).
% 0.69/0.89  exact (zenon_H223 zenon_H21e).
% 0.69/0.89  (* end of lemma zenon_L183_ *)
% 0.69/0.89  assert (zenon_L184_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> (c0_1 (a2099)) -> (~(c3_1 (a2099))) -> (~(c2_1 (a2099))) -> (~(hskp16)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H35 zenon_H225 zenon_H21e zenon_H21d zenon_H21c zenon_H14f.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H27 | zenon_intro zenon_H226 ].
% 0.69/0.89  apply (zenon_L14_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H150 ].
% 0.69/0.89  apply (zenon_L183_); trivial.
% 0.69/0.89  exact (zenon_H14f zenon_H150).
% 0.69/0.89  (* end of lemma zenon_L184_ *)
% 0.69/0.89  assert (zenon_L185_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a2104))) -> (~(c1_1 (a2104))) -> (c3_1 (a2104)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H227 zenon_Hf zenon_H161 zenon_H15f zenon_H162.
% 0.69/0.89  generalize (zenon_H227 (a2104)). zenon_intro zenon_H228.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H228); [ zenon_intro zenon_He | zenon_intro zenon_H229 ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H16f | zenon_intro zenon_H22a ].
% 0.69/0.89  exact (zenon_H161 zenon_H16f).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H169 | zenon_intro zenon_H16a ].
% 0.69/0.89  exact (zenon_H15f zenon_H169).
% 0.69/0.89  exact (zenon_H16a zenon_H162).
% 0.69/0.89  (* end of lemma zenon_L185_ *)
% 0.69/0.89  assert (zenon_L186_ : (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))) -> (ndr1_0) -> (~(c2_1 (a2116))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H22b zenon_Hf zenon_H11 zenon_H13 zenon_H14.
% 0.69/0.89  generalize (zenon_H22b (a2116)). zenon_intro zenon_H22c.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H22c); [ zenon_intro zenon_He | zenon_intro zenon_H22d ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H18 | zenon_intro zenon_H22e ].
% 0.69/0.89  exact (zenon_H11 zenon_H18).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1f | zenon_intro zenon_H19 ].
% 0.69/0.89  exact (zenon_H13 zenon_H1f).
% 0.69/0.89  exact (zenon_H19 zenon_H14).
% 0.69/0.89  (* end of lemma zenon_L186_ *)
% 0.69/0.89  assert (zenon_L187_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (c3_1 (a2104)) -> (~(c1_1 (a2104))) -> (~(c0_1 (a2104))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H3a zenon_H22f zenon_H162 zenon_H15f zenon_H161 zenon_H108 zenon_H107 zenon_H106.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H227 | zenon_intro zenon_H230 ].
% 0.69/0.89  apply (zenon_L185_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H165 | zenon_intro zenon_H22b ].
% 0.69/0.89  apply (zenon_L125_); trivial.
% 0.69/0.89  apply (zenon_L186_); trivial.
% 0.69/0.89  (* end of lemma zenon_L187_ *)
% 0.69/0.89  assert (zenon_L188_ : ((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp26)\/(hskp18))) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H18f zenon_H3e zenon_H22f zenon_H21a zenon_H95 zenon_H96 zenon_H9e zenon_H106 zenon_H107 zenon_H108 zenon_H1d3 zenon_H20d zenon_H8 zenon_H23 zenon_H25 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_Hcc zenon_H12d.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H192.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H162. zenon_intro zenon_H193.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H161. zenon_intro zenon_H15f.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.89  apply (zenon_L180_); trivial.
% 0.69/0.89  apply (zenon_L187_); trivial.
% 0.69/0.89  (* end of lemma zenon_L188_ *)
% 0.69/0.89  assert (zenon_L189_ : ((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099)))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp26)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H231 zenon_H1a5 zenon_H22f zenon_H12d zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H25 zenon_H23 zenon_H8 zenon_H20d zenon_H1d3 zenon_H108 zenon_H107 zenon_H106 zenon_H9e zenon_H96 zenon_H95 zenon_H21a zenon_Hcf zenon_H152 zenon_H3 zenon_H136 zenon_H22 zenon_H88 zenon_H225 zenon_H3b zenon_H3e.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_Hf. zenon_intro zenon_H232.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H21e. zenon_intro zenon_H233.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H21c. zenon_intro zenon_H21d.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H14f | zenon_intro zenon_H18f ].
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.89  apply (zenon_L180_); trivial.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.89  apply (zenon_L182_); trivial.
% 0.69/0.89  apply (zenon_L184_); trivial.
% 0.69/0.89  apply (zenon_L188_); trivial.
% 0.69/0.89  (* end of lemma zenon_L189_ *)
% 0.69/0.89  assert (zenon_L190_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp26)\/(hskp18))) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H116 zenon_H114 zenon_H209 zenon_H36 zenon_H33 zenon_Hc4 zenon_H218 zenon_H214 zenon_H3e zenon_H3b zenon_H225 zenon_H88 zenon_H22 zenon_H136 zenon_H3 zenon_H152 zenon_Hcf zenon_H21a zenon_H95 zenon_H96 zenon_H9e zenon_H1d3 zenon_H20d zenon_H8 zenon_H23 zenon_H25 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H62 zenon_Hcc zenon_H12d zenon_H22f zenon_H1a5 zenon_H234 zenon_Hcb.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.89  apply (zenon_L65_); trivial.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H216 | zenon_intro zenon_H231 ].
% 0.69/0.89  apply (zenon_L177_); trivial.
% 0.69/0.89  apply (zenon_L189_); trivial.
% 0.69/0.89  apply (zenon_L156_); trivial.
% 0.69/0.89  (* end of lemma zenon_L190_ *)
% 0.69/0.89  assert (zenon_L191_ : ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp10)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H235 zenon_H12e zenon_H69 zenon_Hc1.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H12f | zenon_intro zenon_H236 ].
% 0.69/0.89  exact (zenon_H12e zenon_H12f).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc2 ].
% 0.69/0.89  exact (zenon_H69 zenon_H6a).
% 0.69/0.89  exact (zenon_Hc1 zenon_Hc2).
% 0.69/0.89  (* end of lemma zenon_L191_ *)
% 0.69/0.89  assert (zenon_L192_ : (forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105)))))) -> (ndr1_0) -> (~(c3_1 (a2160))) -> (c1_1 (a2160)) -> (c2_1 (a2160)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H237 zenon_Hf zenon_H141 zenon_H142 zenon_H14a.
% 0.69/0.89  generalize (zenon_H237 (a2160)). zenon_intro zenon_H238.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H238); [ zenon_intro zenon_He | zenon_intro zenon_H239 ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H148 | zenon_intro zenon_H23a ].
% 0.69/0.89  exact (zenon_H141 zenon_H148).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H147 | zenon_intro zenon_H14e ].
% 0.69/0.89  exact (zenon_H147 zenon_H142).
% 0.69/0.89  exact (zenon_H14e zenon_H14a).
% 0.69/0.89  (* end of lemma zenon_L192_ *)
% 0.69/0.89  assert (zenon_L193_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c2_1 (a2160)) -> (c1_1 (a2160)) -> (~(c3_1 (a2160))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H23b zenon_Ha7 zenon_Ha8 zenon_Ha9 zenon_H5c zenon_H14a zenon_H142 zenon_H141 zenon_Hf zenon_H69.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H10 | zenon_intro zenon_H23c ].
% 0.69/0.89  apply (zenon_L70_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H237 | zenon_intro zenon_H6a ].
% 0.69/0.89  apply (zenon_L192_); trivial.
% 0.69/0.89  exact (zenon_H69 zenon_H6a).
% 0.69/0.89  (* end of lemma zenon_L193_ *)
% 0.69/0.89  assert (zenon_L194_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2160)) -> (c1_1 (a2160)) -> (~(c3_1 (a2160))) -> (~(hskp12)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hd4 zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H23b zenon_H14a zenon_H142 zenon_H141 zenon_H69.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ].
% 0.69/0.89  apply (zenon_L23_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ].
% 0.69/0.89  apply (zenon_L165_); trivial.
% 0.69/0.89  apply (zenon_L193_); trivial.
% 0.69/0.89  (* end of lemma zenon_L194_ *)
% 0.69/0.89  assert (zenon_L195_ : ((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp12)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp23)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H154 zenon_Hcc zenon_H62 zenon_H69 zenon_H23b zenon_H48 zenon_H47 zenon_H46 zenon_H86 zenon_H8 zenon_H88.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H155.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H142. zenon_intro zenon_H156.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14a. zenon_intro zenon_H141.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.89  apply (zenon_L40_); trivial.
% 0.69/0.89  apply (zenon_L194_); trivial.
% 0.69/0.89  (* end of lemma zenon_L195_ *)
% 0.69/0.89  assert (zenon_L196_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp23)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp12)) -> (~(hskp10)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H153 zenon_Hcc zenon_H62 zenon_H23b zenon_H48 zenon_H47 zenon_H46 zenon_H86 zenon_H8 zenon_H88 zenon_H69 zenon_Hc1 zenon_H235.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H12e | zenon_intro zenon_H154 ].
% 0.69/0.89  apply (zenon_L191_); trivial.
% 0.69/0.89  apply (zenon_L195_); trivial.
% 0.69/0.89  (* end of lemma zenon_L196_ *)
% 0.69/0.89  assert (zenon_L197_ : (forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (ndr1_0) -> (c0_1 (a2069)) -> (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (c2_1 (a2069)) -> (c3_1 (a2069)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H59 zenon_Hf zenon_H121 zenon_H165 zenon_H122 zenon_H123.
% 0.69/0.89  generalize (zenon_H59 (a2069)). zenon_intro zenon_H13d.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H13d); [ zenon_intro zenon_He | zenon_intro zenon_H13e ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H127 | zenon_intro zenon_H13f ].
% 0.69/0.89  exact (zenon_H127 zenon_H121).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H138 | zenon_intro zenon_H128 ].
% 0.69/0.89  generalize (zenon_H165 (a2069)). zenon_intro zenon_H23d.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H23d); [ zenon_intro zenon_He | zenon_intro zenon_H23e ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H13c | zenon_intro zenon_H126 ].
% 0.69/0.89  exact (zenon_H138 zenon_H13c).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H129 | zenon_intro zenon_H128 ].
% 0.69/0.89  exact (zenon_H129 zenon_H122).
% 0.69/0.89  exact (zenon_H128 zenon_H123).
% 0.69/0.89  exact (zenon_H128 zenon_H123).
% 0.69/0.89  (* end of lemma zenon_L197_ *)
% 0.69/0.89  assert (zenon_L198_ : (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (ndr1_0) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> (c2_1 (a2079)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H159 zenon_Hf zenon_H23f zenon_H240 zenon_H241.
% 0.69/0.89  generalize (zenon_H159 (a2079)). zenon_intro zenon_H242.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H242); [ zenon_intro zenon_He | zenon_intro zenon_H243 ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H245 | zenon_intro zenon_H244 ].
% 0.69/0.89  exact (zenon_H245 zenon_H23f).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H247 | zenon_intro zenon_H246 ].
% 0.69/0.89  exact (zenon_H247 zenon_H240).
% 0.69/0.89  exact (zenon_H246 zenon_H241).
% 0.69/0.89  (* end of lemma zenon_L198_ *)
% 0.69/0.89  assert (zenon_L199_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H10 zenon_Hf zenon_H159 zenon_H23f zenon_H240.
% 0.69/0.89  generalize (zenon_H10 (a2079)). zenon_intro zenon_H248.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H248); [ zenon_intro zenon_He | zenon_intro zenon_H249 ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H241 | zenon_intro zenon_H24a ].
% 0.69/0.89  apply (zenon_L198_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H245 | zenon_intro zenon_H247 ].
% 0.69/0.89  exact (zenon_H245 zenon_H23f).
% 0.69/0.89  exact (zenon_H247 zenon_H240).
% 0.69/0.89  (* end of lemma zenon_L199_ *)
% 0.69/0.89  assert (zenon_L200_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (ndr1_0) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H22 zenon_H20 zenon_H240 zenon_H23f zenon_H159 zenon_Hf.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H10 | zenon_intro zenon_H21 ].
% 0.69/0.89  apply (zenon_L199_); trivial.
% 0.69/0.89  exact (zenon_H20 zenon_H21).
% 0.69/0.89  (* end of lemma zenon_L200_ *)
% 0.69/0.89  assert (zenon_L201_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp20)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H12a zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H15d zenon_H22 zenon_H20 zenon_H240 zenon_H23f zenon_H163.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ].
% 0.69/0.89  apply (zenon_L23_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ].
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ].
% 0.69/0.89  apply (zenon_L197_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H159 | zenon_intro zenon_H15e ].
% 0.69/0.89  apply (zenon_L200_); trivial.
% 0.69/0.89  exact (zenon_H15d zenon_H15e).
% 0.69/0.89  apply (zenon_L76_); trivial.
% 0.69/0.89  (* end of lemma zenon_L201_ *)
% 0.69/0.89  assert (zenon_L202_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (~(hskp20)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hc3 zenon_H12d zenon_H62 zenon_H22 zenon_H20 zenon_H240 zenon_H23f zenon_H15d zenon_H163 zenon_H48 zenon_H47 zenon_H46 zenon_H8 zenon_H11f.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.89  apply (zenon_L75_); trivial.
% 0.69/0.89  apply (zenon_L201_); trivial.
% 0.69/0.89  (* end of lemma zenon_L202_ *)
% 0.69/0.89  assert (zenon_L203_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (~(hskp20)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hcf zenon_H12d zenon_H22 zenon_H20 zenon_H240 zenon_H23f zenon_H15d zenon_H163 zenon_H11f zenon_H235 zenon_Hc1 zenon_H69 zenon_H88 zenon_H8 zenon_H46 zenon_H47 zenon_H48 zenon_H23b zenon_H62 zenon_Hcc zenon_H153.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.89  apply (zenon_L196_); trivial.
% 0.69/0.89  apply (zenon_L202_); trivial.
% 0.69/0.89  (* end of lemma zenon_L203_ *)
% 0.69/0.89  assert (zenon_L204_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (~(hskp12)) -> (ndr1_0) -> (~(c3_1 (a2160))) -> (c1_1 (a2160)) -> (c2_1 (a2160)) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(hskp26)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H212 zenon_H2a zenon_H29 zenon_H28 zenon_H69 zenon_Hf zenon_H141 zenon_H142 zenon_H14a zenon_H23f zenon_H240 zenon_H23b zenon_H11d.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ].
% 0.69/0.89  apply (zenon_L14_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ].
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H10 | zenon_intro zenon_H23c ].
% 0.69/0.89  apply (zenon_L199_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H237 | zenon_intro zenon_H6a ].
% 0.69/0.89  apply (zenon_L192_); trivial.
% 0.69/0.89  exact (zenon_H69 zenon_H6a).
% 0.69/0.89  exact (zenon_H11d zenon_H11e).
% 0.69/0.89  (* end of lemma zenon_L204_ *)
% 0.69/0.89  assert (zenon_L205_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp27)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H20d zenon_H188 zenon_Hf zenon_H1de zenon_H1dd zenon_H1e6 zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_H84.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1ef | zenon_intro zenon_H20e ].
% 0.69/0.89  apply (zenon_L144_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_He8 | zenon_intro zenon_H85 ].
% 0.69/0.89  apply (zenon_L136_); trivial.
% 0.69/0.89  exact (zenon_H84 zenon_H85).
% 0.69/0.89  (* end of lemma zenon_L205_ *)
% 0.69/0.89  assert (zenon_L206_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H12a zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H18b zenon_H188 zenon_H177 zenon_H176 zenon_H175 zenon_H20d.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.89  apply (zenon_L205_); trivial.
% 0.69/0.89  apply (zenon_L166_); trivial.
% 0.69/0.89  (* end of lemma zenon_L206_ *)
% 0.69/0.89  assert (zenon_L207_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp12)) -> (~(hskp10)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H35 zenon_H153 zenon_H12d zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H18b zenon_H188 zenon_H177 zenon_H176 zenon_H175 zenon_H20d zenon_H23b zenon_H240 zenon_H23f zenon_H212 zenon_H69 zenon_Hc1 zenon_H235.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H12e | zenon_intro zenon_H154 ].
% 0.69/0.89  apply (zenon_L191_); trivial.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H155.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H142. zenon_intro zenon_H156.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14a. zenon_intro zenon_H141.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.89  apply (zenon_L204_); trivial.
% 0.69/0.89  apply (zenon_L206_); trivial.
% 0.69/0.89  (* end of lemma zenon_L207_ *)
% 0.69/0.89  assert (zenon_L208_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hc3 zenon_H12d zenon_H1ed zenon_H33 zenon_H198 zenon_H197 zenon_H196 zenon_H8 zenon_H11f.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.89  apply (zenon_L75_); trivial.
% 0.69/0.89  apply (zenon_L142_); trivial.
% 0.69/0.89  (* end of lemma zenon_L208_ *)
% 0.69/0.89  assert (zenon_L209_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H1a1 zenon_Hcf zenon_H12d zenon_H1ed zenon_H33 zenon_H11f zenon_H235 zenon_Hc1 zenon_H69 zenon_H88 zenon_H8 zenon_H46 zenon_H47 zenon_H48 zenon_H23b zenon_H62 zenon_Hcc zenon_H153.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.89  apply (zenon_L196_); trivial.
% 0.69/0.89  apply (zenon_L208_); trivial.
% 0.69/0.89  (* end of lemma zenon_L209_ *)
% 0.69/0.89  assert (zenon_L210_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp12)) -> (~(hskp10)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H1a4 zenon_H1ed zenon_H33 zenon_H3b zenon_H1dd zenon_H1de zenon_H1e6 zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_H20d zenon_H212 zenon_H153 zenon_Hcc zenon_H62 zenon_H23b zenon_H48 zenon_H47 zenon_H46 zenon_H8 zenon_H88 zenon_H69 zenon_Hc1 zenon_H235 zenon_H11f zenon_H163 zenon_H23f zenon_H240 zenon_H22 zenon_H12d zenon_Hcf zenon_H190.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ].
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.89  apply (zenon_L203_); trivial.
% 0.69/0.89  apply (zenon_L207_); trivial.
% 0.69/0.89  apply (zenon_L102_); trivial.
% 0.69/0.89  apply (zenon_L209_); trivial.
% 0.69/0.89  (* end of lemma zenon_L210_ *)
% 0.69/0.89  assert (zenon_L211_ : (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (c0_1 (a2149)) -> (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (c3_1 (a2149)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H5c zenon_Hf zenon_Hb9 zenon_H1cb zenon_Hba.
% 0.69/0.89  generalize (zenon_H5c (a2149)). zenon_intro zenon_H24b.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H24b); [ zenon_intro zenon_He | zenon_intro zenon_H24c ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H24d ].
% 0.69/0.89  exact (zenon_Hc0 zenon_Hb9).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H24e | zenon_intro zenon_Hbf ].
% 0.69/0.89  generalize (zenon_H1cb (a2149)). zenon_intro zenon_H24f.
% 0.69/0.89  apply (zenon_imply_s _ _ zenon_H24f); [ zenon_intro zenon_He | zenon_intro zenon_H250 ].
% 0.69/0.89  exact (zenon_He zenon_Hf).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H251 | zenon_intro zenon_Hbd ].
% 0.69/0.89  exact (zenon_H24e zenon_H251).
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hbf ].
% 0.69/0.89  exact (zenon_Hc0 zenon_Hb9).
% 0.69/0.89  exact (zenon_Hbf zenon_Hba).
% 0.69/0.89  exact (zenon_Hbf zenon_Hba).
% 0.69/0.89  (* end of lemma zenon_L211_ *)
% 0.69/0.89  assert (zenon_L212_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c3_1 (a2149)) -> (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (c0_1 (a2149)) -> (ndr1_0) -> (~(hskp26)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H136 zenon_H9e zenon_H96 zenon_H95 zenon_Hba zenon_H1cb zenon_Hb9 zenon_Hf zenon_H11d.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H132 | zenon_intro zenon_H137 ].
% 0.69/0.89  apply (zenon_L84_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5c | zenon_intro zenon_H11e ].
% 0.69/0.89  apply (zenon_L211_); trivial.
% 0.69/0.89  exact (zenon_H11d zenon_H11e).
% 0.69/0.89  (* end of lemma zenon_L212_ *)
% 0.69/0.89  assert (zenon_L213_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c1_1 (a2095)) -> (~(c2_1 (a2095))) -> (~(c0_1 (a2095))) -> (~(hskp26)) -> (ndr1_0) -> (c0_1 (a2149)) -> (c3_1 (a2149)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> (~(hskp9)) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H252 zenon_H8d zenon_H8c zenon_H8b zenon_H11d zenon_Hf zenon_Hb9 zenon_Hba zenon_H95 zenon_H96 zenon_H9e zenon_H136 zenon_Hb5.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H8a | zenon_intro zenon_H253 ].
% 0.69/0.89  apply (zenon_L41_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1cb | zenon_intro zenon_Hb6 ].
% 0.69/0.89  apply (zenon_L212_); trivial.
% 0.69/0.89  exact (zenon_Hb5 zenon_Hb6).
% 0.69/0.89  (* end of lemma zenon_L213_ *)
% 0.69/0.89  assert (zenon_L214_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (~(hskp20)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2095))) -> (~(c2_1 (a2095))) -> (c1_1 (a2095)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_Hc3 zenon_H12d zenon_H62 zenon_H22 zenon_H20 zenon_H240 zenon_H23f zenon_H15d zenon_H163 zenon_H48 zenon_H47 zenon_H46 zenon_H8b zenon_H8c zenon_H8d zenon_H136 zenon_H9e zenon_H96 zenon_H95 zenon_Hb5 zenon_H252.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.89  apply (zenon_L213_); trivial.
% 0.69/0.89  apply (zenon_L201_); trivial.
% 0.69/0.89  (* end of lemma zenon_L214_ *)
% 0.69/0.89  assert (zenon_L215_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (~(hskp20)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (ndr1_0) -> (~(c0_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c2_1 (a2097))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H12d zenon_H62 zenon_H22 zenon_H20 zenon_H240 zenon_H23f zenon_H15d zenon_H163 zenon_H48 zenon_H47 zenon_H46 zenon_Hf zenon_H196 zenon_H197 zenon_H198 zenon_Ha3 zenon_H1eb.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.89  apply (zenon_L141_); trivial.
% 0.69/0.89  apply (zenon_L201_); trivial.
% 0.69/0.89  (* end of lemma zenon_L215_ *)
% 0.69/0.89  assert (zenon_L216_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H35 zenon_Hcf zenon_H1ed zenon_H33 zenon_H198 zenon_H197 zenon_H196 zenon_H11f zenon_H208 zenon_H212 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H8 zenon_H1f5 zenon_H88 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_Hcc zenon_H12d.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.89  apply (zenon_L173_); trivial.
% 0.69/0.89  apply (zenon_L208_); trivial.
% 0.69/0.89  (* end of lemma zenon_L216_ *)
% 0.69/0.89  assert (zenon_L217_ : ((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (c1_1 (a2095)) -> (~(c2_1 (a2095))) -> (~(c0_1 (a2095))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H18a zenon_H254 zenon_H198 zenon_H197 zenon_H196 zenon_H8d zenon_H8c zenon_H8b.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Hf. zenon_intro zenon_H18c.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H17f. zenon_intro zenon_H18d.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H195 | zenon_intro zenon_H255 ].
% 0.69/0.89  apply (zenon_L104_); trivial.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H8a | zenon_intro zenon_H17e ].
% 0.69/0.89  apply (zenon_L41_); trivial.
% 0.69/0.89  apply (zenon_L100_); trivial.
% 0.69/0.89  (* end of lemma zenon_L217_ *)
% 0.69/0.89  assert (zenon_L218_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (c1_1 (a2095)) -> (~(c2_1 (a2095))) -> (~(c0_1 (a2095))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False).
% 0.69/0.89  do 0 intro. intros zenon_H1a1 zenon_H190 zenon_H254 zenon_H8d zenon_H8c zenon_H8b zenon_H12d zenon_H62 zenon_H22 zenon_H240 zenon_H23f zenon_H163 zenon_H48 zenon_H47 zenon_H46 zenon_Ha3 zenon_H1eb zenon_Hcc zenon_H88 zenon_H1f5 zenon_H8 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H212 zenon_H208 zenon_H11f zenon_H33 zenon_H1ed zenon_Hcf zenon_H3b.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3.
% 0.69/0.89  apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198.
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ].
% 0.69/0.89  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.90  apply (zenon_L215_); trivial.
% 0.69/0.90  apply (zenon_L216_); trivial.
% 0.69/0.90  apply (zenon_L217_); trivial.
% 0.69/0.90  (* end of lemma zenon_L218_ *)
% 0.69/0.90  assert (zenon_L219_ : ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp20)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H163 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H23f zenon_H240 zenon_H20 zenon_H22 zenon_H15d.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ].
% 0.69/0.90  apply (zenon_L125_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H159 | zenon_intro zenon_H15e ].
% 0.69/0.90  apply (zenon_L200_); trivial.
% 0.69/0.90  exact (zenon_H15d zenon_H15e).
% 0.69/0.90  (* end of lemma zenon_L219_ *)
% 0.69/0.90  assert (zenon_L220_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp27)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H256 zenon_H2a zenon_H29 zenon_H28 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H84.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H27 | zenon_intro zenon_H257 ].
% 0.69/0.90  apply (zenon_L14_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H165 | zenon_intro zenon_H85 ].
% 0.69/0.90  apply (zenon_L125_); trivial.
% 0.69/0.90  exact (zenon_H84 zenon_H85).
% 0.69/0.90  (* end of lemma zenon_L220_ *)
% 0.69/0.90  assert (zenon_L221_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H35 zenon_H12d zenon_Hcc zenon_H62 zenon_H256 zenon_H46 zenon_H47 zenon_H48 zenon_H106 zenon_H107 zenon_H108 zenon_H1d3.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.90  apply (zenon_L126_); trivial.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.90  apply (zenon_L220_); trivial.
% 0.69/0.90  apply (zenon_L166_); trivial.
% 0.69/0.90  (* end of lemma zenon_L221_ *)
% 0.69/0.90  assert (zenon_L222_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (~(hskp20)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H3b zenon_H12d zenon_Hcc zenon_H62 zenon_H256 zenon_H46 zenon_H47 zenon_H48 zenon_H1d3 zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_H22 zenon_H240 zenon_H23f zenon_H15d zenon_H163.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.90  apply (zenon_L219_); trivial.
% 0.69/0.90  apply (zenon_L221_); trivial.
% 0.69/0.90  (* end of lemma zenon_L222_ *)
% 0.69/0.90  assert (zenon_L223_ : ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H190 zenon_H18b zenon_H188 zenon_H177 zenon_H176 zenon_H175 zenon_H163 zenon_H23f zenon_H240 zenon_H22 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H1d3 zenon_H48 zenon_H47 zenon_H46 zenon_H256 zenon_H62 zenon_Hcc zenon_H12d zenon_H3b.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ].
% 0.69/0.90  apply (zenon_L222_); trivial.
% 0.69/0.90  apply (zenon_L102_); trivial.
% 0.69/0.90  (* end of lemma zenon_L223_ *)
% 0.69/0.90  assert (zenon_L224_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_Hc8 zenon_H1a4 zenon_H1ed zenon_H33 zenon_Ha3 zenon_H1eb zenon_H3b zenon_H12d zenon_Hcc zenon_H62 zenon_H256 zenon_H1d3 zenon_H106 zenon_H107 zenon_H108 zenon_H22 zenon_H240 zenon_H23f zenon_H163 zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_H190.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.69/0.90  apply (zenon_L223_); trivial.
% 0.69/0.90  apply (zenon_L143_); trivial.
% 0.69/0.90  (* end of lemma zenon_L224_ *)
% 0.69/0.90  assert (zenon_L225_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H116 zenon_H114 zenon_Hfc zenon_H36 zenon_H33 zenon_Hc4 zenon_H190 zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_H163 zenon_H23f zenon_H240 zenon_H22 zenon_H1d3 zenon_H256 zenon_H62 zenon_Hcc zenon_H12d zenon_H3b zenon_H1eb zenon_Ha3 zenon_H1ed zenon_H1a4 zenon_Hcb.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.90  apply (zenon_L65_); trivial.
% 0.69/0.90  apply (zenon_L224_); trivial.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.90  apply (zenon_L107_); trivial.
% 0.69/0.90  apply (zenon_L224_); trivial.
% 0.69/0.90  (* end of lemma zenon_L225_ *)
% 0.69/0.90  assert (zenon_L226_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a2072))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (ndr1_0) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H1c5 zenon_H1e6 zenon_H1de zenon_He8 zenon_H1dd zenon_Hde zenon_Hdd zenon_Hdc zenon_Hf zenon_H1b0 zenon_H1b1 zenon_H1bc.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H12 | zenon_intro zenon_H1c6 ].
% 0.69/0.90  apply (zenon_L158_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1bb ].
% 0.69/0.90  apply (zenon_L54_); trivial.
% 0.69/0.90  apply (zenon_L114_); trivial.
% 0.69/0.90  (* end of lemma zenon_L226_ *)
% 0.69/0.90  assert (zenon_L227_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (ndr1_0) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp27)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H20d zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hf zenon_Hdc zenon_Hdd zenon_Hde zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H84.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1ef | zenon_intro zenon_H20e ].
% 0.69/0.90  apply (zenon_L144_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_He8 | zenon_intro zenon_H85 ].
% 0.69/0.90  apply (zenon_L226_); trivial.
% 0.69/0.90  exact (zenon_H84 zenon_H85).
% 0.69/0.90  (* end of lemma zenon_L227_ *)
% 0.69/0.90  assert (zenon_L228_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (c1_1 (a2172)) -> (~(c3_1 (a2172))) -> (~(c0_1 (a2172))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp8)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_Hd4 zenon_H7e zenon_H72 zenon_H71 zenon_H70 zenon_H20 zenon_H22 zenon_H7c.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6f | zenon_intro zenon_H7f ].
% 0.69/0.90  apply (zenon_L32_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H79 | zenon_intro zenon_H7d ].
% 0.69/0.90  apply (zenon_L150_); trivial.
% 0.69/0.90  exact (zenon_H7c zenon_H7d).
% 0.69/0.90  (* end of lemma zenon_L228_ *)
% 0.69/0.90  assert (zenon_L229_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp12)) -> (~(hskp18)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H80 zenon_Hcc zenon_H7e zenon_H7c zenon_H20 zenon_H22 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H20d zenon_H69 zenon_Ha zenon_H6d.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6b | zenon_intro zenon_H81 ].
% 0.69/0.90  apply (zenon_L31_); trivial.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H82.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H72. zenon_intro zenon_H83.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H70. zenon_intro zenon_H71.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.90  apply (zenon_L227_); trivial.
% 0.69/0.90  apply (zenon_L228_); trivial.
% 0.69/0.90  (* end of lemma zenon_L229_ *)
% 0.69/0.90  assert (zenon_L230_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2110))) -> (c0_1 (a2110)) -> (c2_1 (a2110)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H35 zenon_Hfb zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hdc zenon_Hdd zenon_Hde zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_Hf2 zenon_Hf3 zenon_Hf4.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ].
% 0.69/0.90  apply (zenon_L226_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ].
% 0.69/0.90  apply (zenon_L14_); trivial.
% 0.69/0.90  apply (zenon_L57_); trivial.
% 0.69/0.90  (* end of lemma zenon_L230_ *)
% 0.69/0.90  assert (zenon_L231_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c2_1 (a2110)) -> (c0_1 (a2110)) -> (~(c1_1 (a2110))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp18)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H3b zenon_Hfb zenon_Hf4 zenon_Hf3 zenon_Hf2 zenon_H6d zenon_Ha zenon_H69 zenon_H20d zenon_Hdc zenon_Hdd zenon_Hde zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H22 zenon_H7c zenon_H7e zenon_Hcc zenon_H80.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.90  apply (zenon_L229_); trivial.
% 0.69/0.90  apply (zenon_L230_); trivial.
% 0.69/0.90  (* end of lemma zenon_L231_ *)
% 0.69/0.90  assert (zenon_L232_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c2_1 (a2110)) -> (c0_1 (a2110)) -> (~(c1_1 (a2110))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H3a zenon_H3b zenon_Hfb zenon_Hf4 zenon_Hf3 zenon_Hf2 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H22 zenon_Hdc zenon_Hdd zenon_Hde zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.90  apply (zenon_L119_); trivial.
% 0.69/0.90  apply (zenon_L230_); trivial.
% 0.69/0.90  (* end of lemma zenon_L232_ *)
% 0.69/0.90  assert (zenon_L233_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp17)\/(hskp2)) -> (~(hskp2)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H103 zenon_Hd0 zenon_He5 zenon_H5 zenon_H3 zenon_H3b zenon_Hfb zenon_H6d zenon_H20d zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H22 zenon_H7c zenon_H7e zenon_Hcc zenon_H80 zenon_H3e zenon_Hff.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ].
% 0.69/0.90  apply (zenon_L3_); trivial.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.90  apply (zenon_L231_); trivial.
% 0.69/0.90  apply (zenon_L232_); trivial.
% 0.69/0.90  apply (zenon_L59_); trivial.
% 0.69/0.90  (* end of lemma zenon_L233_ *)
% 0.69/0.90  assert (zenon_L234_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp17)\/(hskp2)) -> (~(hskp2)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c2_1 (a2074))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H116 zenon_H114 zenon_Hd0 zenon_He5 zenon_H5 zenon_H3 zenon_H3b zenon_Hfb zenon_H6d zenon_H20d zenon_H1b0 zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H22 zenon_H7c zenon_H7e zenon_Hcc zenon_H80 zenon_H3e zenon_Hff zenon_H36 zenon_H33 zenon_Hc4 zenon_H1d3 zenon_H62 zenon_H1bc zenon_H1b1 zenon_H65 zenon_H12d zenon_Hcb.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.90  apply (zenon_L129_); trivial.
% 0.69/0.90  apply (zenon_L233_); trivial.
% 0.69/0.90  (* end of lemma zenon_L234_ *)
% 0.69/0.90  assert (zenon_L235_ : ((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (~(hskp20)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H205 zenon_H163 zenon_H108 zenon_H107 zenon_H106 zenon_H15d.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_Hf. zenon_intro zenon_H206.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H1fa. zenon_intro zenon_H207.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1fb. zenon_intro zenon_H1fc.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ].
% 0.69/0.90  apply (zenon_L125_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H159 | zenon_intro zenon_H15e ].
% 0.69/0.90  apply (zenon_L148_); trivial.
% 0.69/0.90  exact (zenon_H15d zenon_H15e).
% 0.69/0.90  (* end of lemma zenon_L235_ *)
% 0.69/0.90  assert (zenon_L236_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H208 zenon_H163 zenon_H15d zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H8 zenon_H1f5.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H205 ].
% 0.69/0.90  apply (zenon_L146_); trivial.
% 0.69/0.90  apply (zenon_L235_); trivial.
% 0.69/0.90  (* end of lemma zenon_L236_ *)
% 0.69/0.90  assert (zenon_L237_ : ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H190 zenon_H18b zenon_H188 zenon_H177 zenon_H176 zenon_H175 zenon_H1f5 zenon_H8 zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_H163 zenon_H208.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ].
% 0.69/0.90  apply (zenon_L236_); trivial.
% 0.69/0.90  apply (zenon_L102_); trivial.
% 0.69/0.90  (* end of lemma zenon_L237_ *)
% 0.69/0.90  assert (zenon_L238_ : ((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (~(hskp5)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H18a zenon_H254 zenon_H198 zenon_H197 zenon_H196 zenon_H8 zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c1.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Hf. zenon_intro zenon_H18c.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H17f. zenon_intro zenon_H18d.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H195 | zenon_intro zenon_H255 ].
% 0.69/0.90  apply (zenon_L104_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H8a | zenon_intro zenon_H17e ].
% 0.69/0.90  apply (zenon_L115_); trivial.
% 0.69/0.90  apply (zenon_L100_); trivial.
% 0.69/0.90  (* end of lemma zenon_L238_ *)
% 0.69/0.90  assert (zenon_L239_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H116 zenon_H1a4 zenon_H254 zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c1 zenon_H208 zenon_H163 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H8 zenon_H1f5 zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_H190.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.69/0.90  apply (zenon_L237_); trivial.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ].
% 0.69/0.90  apply (zenon_L236_); trivial.
% 0.69/0.90  apply (zenon_L238_); trivial.
% 0.69/0.90  (* end of lemma zenon_L239_ *)
% 0.69/0.90  assert (zenon_L240_ : ((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H1d7 zenon_H115 zenon_H1a4 zenon_H254 zenon_H208 zenon_H163 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1f5 zenon_H18b zenon_H190 zenon_H1c1 zenon_H8 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H65 zenon_H33 zenon_Hcd.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.69/0.90  apply (zenon_L118_); trivial.
% 0.69/0.90  apply (zenon_L239_); trivial.
% 0.69/0.90  (* end of lemma zenon_L240_ *)
% 0.69/0.90  assert (zenon_L241_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> ((hskp6)\/((hskp5)\/(hskp18))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_Hcb zenon_H64 zenon_H65 zenon_H62 zenon_H41 zenon_H43 zenon_Hc zenon_H8 zenon_H6 zenon_H25 zenon_H23 zenon_H22 zenon_H33 zenon_H36 zenon_H3b zenon_H3e.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.90  apply (zenon_L19_); trivial.
% 0.69/0.90  apply (zenon_L66_); trivial.
% 0.69/0.90  (* end of lemma zenon_L241_ *)
% 0.69/0.90  assert (zenon_L242_ : (forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80)))))) -> (ndr1_0) -> (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c3_1 (a2071))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H45 zenon_Hf zenon_H159 zenon_H258 zenon_H259 zenon_H25a.
% 0.69/0.90  generalize (zenon_H45 (a2071)). zenon_intro zenon_H25b.
% 0.69/0.90  apply (zenon_imply_s _ _ zenon_H25b); [ zenon_intro zenon_He | zenon_intro zenon_H25c ].
% 0.69/0.90  exact (zenon_He zenon_Hf).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H25e | zenon_intro zenon_H25d ].
% 0.69/0.90  generalize (zenon_H159 (a2071)). zenon_intro zenon_H25f.
% 0.69/0.90  apply (zenon_imply_s _ _ zenon_H25f); [ zenon_intro zenon_He | zenon_intro zenon_H260 ].
% 0.69/0.90  exact (zenon_He zenon_Hf).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H262 | zenon_intro zenon_H261 ].
% 0.69/0.90  exact (zenon_H262 zenon_H258).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H264 | zenon_intro zenon_H263 ].
% 0.69/0.90  exact (zenon_H264 zenon_H25e).
% 0.69/0.90  exact (zenon_H263 zenon_H259).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H265 | zenon_intro zenon_H262 ].
% 0.69/0.90  exact (zenon_H25a zenon_H265).
% 0.69/0.90  exact (zenon_H262 zenon_H258).
% 0.69/0.90  (* end of lemma zenon_L242_ *)
% 0.69/0.90  assert (zenon_L243_ : ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (c0_1 (a2078)) -> (~(c1_1 (a2078))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c2_1 (a2078))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (ndr1_0) -> (forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80)))))) -> (~(hskp11)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H203 zenon_H9e zenon_H95 zenon_H94 zenon_H96 zenon_H25a zenon_H259 zenon_H258 zenon_Hf zenon_H45 zenon_H31.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H204 ].
% 0.69/0.90  apply (zenon_L147_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H159 | zenon_intro zenon_H32 ].
% 0.69/0.90  apply (zenon_L242_); trivial.
% 0.69/0.90  exact (zenon_H31 zenon_H32).
% 0.69/0.90  (* end of lemma zenon_L243_ *)
% 0.69/0.90  assert (zenon_L244_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (c2_1 (a2077)) -> (c3_1 (a2077)) -> (c1_1 (a2077)) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (c0_1 (a2078)) -> (~(c1_1 (a2078))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c2_1 (a2078))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(hskp11)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp28)) -> (~(hskp4)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H266 zenon_H5d zenon_H52 zenon_H51 zenon_Hf zenon_H203 zenon_H9e zenon_H95 zenon_H94 zenon_H96 zenon_H25a zenon_H259 zenon_H258 zenon_H31 zenon_H62 zenon_H1f3 zenon_H23.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H4f | zenon_intro zenon_H267 ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ].
% 0.69/0.90  apply (zenon_L243_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ].
% 0.69/0.90  apply (zenon_L25_); trivial.
% 0.69/0.90  apply (zenon_L26_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H24 ].
% 0.69/0.90  exact (zenon_H1f3 zenon_H1f4).
% 0.69/0.90  exact (zenon_H23 zenon_H24).
% 0.69/0.90  (* end of lemma zenon_L244_ *)
% 0.69/0.90  assert (zenon_L245_ : (forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76)))))) -> (ndr1_0) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H149 zenon_Hf zenon_H25a zenon_H258 zenon_H259.
% 0.69/0.90  generalize (zenon_H149 (a2071)). zenon_intro zenon_H268.
% 0.69/0.90  apply (zenon_imply_s _ _ zenon_H268); [ zenon_intro zenon_He | zenon_intro zenon_H269 ].
% 0.69/0.90  exact (zenon_He zenon_Hf).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H265 | zenon_intro zenon_H26a ].
% 0.69/0.90  exact (zenon_H25a zenon_H265).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H262 | zenon_intro zenon_H263 ].
% 0.69/0.90  exact (zenon_H262 zenon_H258).
% 0.69/0.90  exact (zenon_H263 zenon_H259).
% 0.69/0.90  (* end of lemma zenon_L245_ *)
% 0.69/0.90  assert (zenon_L246_ : ((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> (~(hskp11)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (~(hskp16)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H205 zenon_H151 zenon_H31 zenon_H96 zenon_H95 zenon_H9e zenon_H203 zenon_H259 zenon_H258 zenon_H25a zenon_H14f.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_Hf. zenon_intro zenon_H206.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H1fa. zenon_intro zenon_H207.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1fb. zenon_intro zenon_H1fc.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H94 | zenon_intro zenon_H158 ].
% 0.69/0.90  apply (zenon_L149_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H149 | zenon_intro zenon_H150 ].
% 0.69/0.90  apply (zenon_L245_); trivial.
% 0.69/0.90  exact (zenon_H14f zenon_H150).
% 0.69/0.90  (* end of lemma zenon_L246_ *)
% 0.69/0.90  assert (zenon_L247_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (c0_1 (a2078)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H208 zenon_H43 zenon_H41 zenon_H8 zenon_H266 zenon_H23 zenon_H203 zenon_H31 zenon_H25a zenon_H259 zenon_H258 zenon_H9e zenon_H95 zenon_H96 zenon_H62 zenon_H14f zenon_H151 zenon_H64.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H205 ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H66 ].
% 0.69/0.90  apply (zenon_L22_); trivial.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_Hf. zenon_intro zenon_H67.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H51. zenon_intro zenon_H68.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H5d. zenon_intro zenon_H52.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H94 | zenon_intro zenon_H158 ].
% 0.69/0.90  apply (zenon_L244_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H149 | zenon_intro zenon_H150 ].
% 0.69/0.90  apply (zenon_L245_); trivial.
% 0.69/0.90  exact (zenon_H14f zenon_H150).
% 0.69/0.90  apply (zenon_L246_); trivial.
% 0.69/0.90  (* end of lemma zenon_L247_ *)
% 0.69/0.90  assert (zenon_L248_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (~(c0_1 (a2140))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (ndr1_0) -> (~(hskp11)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_Hfc zenon_H2a zenon_H29 zenon_H165 zenon_H28 zenon_Hde zenon_Hdd zenon_Hdc zenon_Hf zenon_H31.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfe ].
% 0.69/0.90  apply (zenon_L120_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hdb | zenon_intro zenon_H32 ].
% 0.69/0.90  apply (zenon_L54_); trivial.
% 0.69/0.90  exact (zenon_H31 zenon_H32).
% 0.69/0.90  (* end of lemma zenon_L248_ *)
% 0.69/0.90  assert (zenon_L249_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (c3_1 (a2104)) -> (~(c1_1 (a2104))) -> (~(c0_1 (a2104))) -> (~(hskp11)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (~(c2_1 (a2116))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H35 zenon_H22f zenon_H162 zenon_H15f zenon_H161 zenon_H31 zenon_Hdc zenon_Hdd zenon_Hde zenon_Hfc zenon_H11 zenon_H13 zenon_H14.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H227 | zenon_intro zenon_H230 ].
% 0.69/0.90  apply (zenon_L185_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H165 | zenon_intro zenon_H22b ].
% 0.69/0.90  apply (zenon_L248_); trivial.
% 0.69/0.90  apply (zenon_L186_); trivial.
% 0.69/0.90  (* end of lemma zenon_L249_ *)
% 0.69/0.90  assert (zenon_L250_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (c3_1 (a2104)) -> (~(c1_1 (a2104))) -> (~(c0_1 (a2104))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H3a zenon_H3b zenon_H22f zenon_H31 zenon_Hfc zenon_H162 zenon_H15f zenon_H161 zenon_H22 zenon_Hdc zenon_Hdd zenon_Hde zenon_H7c zenon_He5.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.90  apply (zenon_L55_); trivial.
% 0.69/0.90  apply (zenon_L249_); trivial.
% 0.69/0.90  (* end of lemma zenon_L250_ *)
% 0.69/0.90  assert (zenon_L251_ : ((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp12)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H18f zenon_H3e zenon_H3b zenon_H22f zenon_H31 zenon_Hfc zenon_H22 zenon_Hdc zenon_Hdd zenon_Hde zenon_He5 zenon_H6d zenon_H69 zenon_H43 zenon_H41 zenon_H8 zenon_H7c zenon_H7e zenon_H64 zenon_H80.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H192.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H162. zenon_intro zenon_H193.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H161. zenon_intro zenon_H15f.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.90  apply (zenon_L36_); trivial.
% 0.69/0.90  apply (zenon_L250_); trivial.
% 0.69/0.90  (* end of lemma zenon_L251_ *)
% 0.69/0.90  assert (zenon_L252_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c3_1 (a2071))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (~(hskp4)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H103 zenon_Hcb zenon_Ha5 zenon_Ha3 zenon_H1a5 zenon_H3e zenon_H3b zenon_H22f zenon_Hfc zenon_H22 zenon_He5 zenon_H6d zenon_H7c zenon_H7e zenon_H80 zenon_H64 zenon_H151 zenon_H62 zenon_H96 zenon_H95 zenon_H9e zenon_H258 zenon_H259 zenon_H25a zenon_H203 zenon_H23 zenon_H266 zenon_H8 zenon_H41 zenon_H43 zenon_H208 zenon_Hd0.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H14f | zenon_intro zenon_H18f ].
% 0.69/0.90  apply (zenon_L247_); trivial.
% 0.69/0.90  apply (zenon_L251_); trivial.
% 0.69/0.90  apply (zenon_L59_); trivial.
% 0.69/0.90  apply (zenon_L51_); trivial.
% 0.69/0.90  (* end of lemma zenon_L252_ *)
% 0.69/0.90  assert (zenon_L253_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2116)) -> (~(c3_1 (a2116))) -> (~(c2_1 (a2116))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (ndr1_0) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H1c5 zenon_H14 zenon_H13 zenon_H11 zenon_H10 zenon_Hde zenon_Hdd zenon_Hdc zenon_Hf zenon_H1b0 zenon_H1b1 zenon_H1bc.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H12 | zenon_intro zenon_H1c6 ].
% 0.69/0.90  apply (zenon_L9_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1bb ].
% 0.69/0.90  apply (zenon_L54_); trivial.
% 0.69/0.90  apply (zenon_L114_); trivial.
% 0.69/0.90  (* end of lemma zenon_L253_ *)
% 0.69/0.90  assert (zenon_L254_ : (forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105)))))) -> (ndr1_0) -> (~(c3_1 (a2071))) -> (forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80)))))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H237 zenon_Hf zenon_H25a zenon_H45 zenon_H258 zenon_H259.
% 0.69/0.90  generalize (zenon_H237 (a2071)). zenon_intro zenon_H26b.
% 0.69/0.90  apply (zenon_imply_s _ _ zenon_H26b); [ zenon_intro zenon_He | zenon_intro zenon_H26c ].
% 0.69/0.90  exact (zenon_He zenon_Hf).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H265 | zenon_intro zenon_H261 ].
% 0.69/0.90  exact (zenon_H25a zenon_H265).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H264 | zenon_intro zenon_H263 ].
% 0.69/0.90  generalize (zenon_H45 (a2071)). zenon_intro zenon_H25b.
% 0.69/0.90  apply (zenon_imply_s _ _ zenon_H25b); [ zenon_intro zenon_He | zenon_intro zenon_H25c ].
% 0.69/0.90  exact (zenon_He zenon_Hf).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H25e | zenon_intro zenon_H25d ].
% 0.69/0.90  exact (zenon_H264 zenon_H25e).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H265 | zenon_intro zenon_H262 ].
% 0.69/0.90  exact (zenon_H25a zenon_H265).
% 0.69/0.90  exact (zenon_H262 zenon_H258).
% 0.69/0.90  exact (zenon_H263 zenon_H259).
% 0.69/0.90  (* end of lemma zenon_L254_ *)
% 0.69/0.90  assert (zenon_L255_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp12)) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(hskp3)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H3a zenon_H1cf zenon_H69 zenon_H25a zenon_H258 zenon_H259 zenon_H1c5 zenon_Hde zenon_Hdd zenon_Hdc zenon_H23b zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H41.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d0 ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H10 | zenon_intro zenon_H23c ].
% 0.69/0.90  apply (zenon_L253_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H237 | zenon_intro zenon_H6a ].
% 0.69/0.90  apply (zenon_L254_); trivial.
% 0.69/0.90  exact (zenon_H69 zenon_H6a).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H42 ].
% 0.69/0.90  apply (zenon_L114_); trivial.
% 0.69/0.90  exact (zenon_H41 zenon_H42).
% 0.69/0.90  (* end of lemma zenon_L255_ *)
% 0.69/0.90  assert (zenon_L256_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H103 zenon_Hd0 zenon_He5 zenon_H80 zenon_H64 zenon_H7e zenon_H7c zenon_H8 zenon_H41 zenon_H43 zenon_H6d zenon_H23b zenon_H259 zenon_H258 zenon_H25a zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1cf zenon_H3e.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.90  apply (zenon_L36_); trivial.
% 0.69/0.90  apply (zenon_L255_); trivial.
% 0.69/0.90  apply (zenon_L59_); trivial.
% 0.69/0.90  (* end of lemma zenon_L256_ *)
% 0.69/0.90  assert (zenon_L257_ : ((hskp17)\/((hskp23)\/(hskp1))) -> (~(hskp17)) -> (~(hskp23)) -> (~(hskp1)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H26d zenon_H1 zenon_H86 zenon_Ha3.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2 | zenon_intro zenon_H26e ].
% 0.69/0.90  exact (zenon_H1 zenon_H2).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H87 | zenon_intro zenon_Ha4 ].
% 0.69/0.90  exact (zenon_H86 zenon_H87).
% 0.69/0.90  exact (zenon_Ha3 zenon_Ha4).
% 0.69/0.90  (* end of lemma zenon_L257_ *)
% 0.69/0.90  assert (zenon_L258_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (~(hskp17)) -> (~(hskp1)) -> ((hskp17)\/((hskp23)\/(hskp1))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_Hcf zenon_Hc4 zenon_Hc1 zenon_H31 zenon_H1 zenon_Ha3 zenon_H26d.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.90  apply (zenon_L257_); trivial.
% 0.69/0.90  apply (zenon_L50_); trivial.
% 0.69/0.90  (* end of lemma zenon_L258_ *)
% 0.69/0.90  assert (zenon_L259_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (c0_1 (a2073)) -> (c3_1 (a2073)) -> (c1_1 (a2073)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H10 zenon_Hf zenon_Ha9 zenon_Ha8 zenon_Ha7.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ].
% 0.69/0.90  apply (zenon_L23_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ].
% 0.69/0.90  apply (zenon_L165_); trivial.
% 0.69/0.90  apply (zenon_L70_); trivial.
% 0.69/0.90  (* end of lemma zenon_L259_ *)
% 0.69/0.90  assert (zenon_L260_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> (~(hskp14)) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> (ndr1_0) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp29)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H26f zenon_H188 zenon_H1de zenon_H1dd zenon_H1e6 zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_Ha7 zenon_Ha8 zenon_Ha9 zenon_Hf zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H3f.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_He8 | zenon_intro zenon_H270 ].
% 0.69/0.90  apply (zenon_L136_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H10 | zenon_intro zenon_H40 ].
% 0.69/0.90  apply (zenon_L259_); trivial.
% 0.69/0.90  exact (zenon_H3f zenon_H40).
% 0.69/0.90  (* end of lemma zenon_L260_ *)
% 0.69/0.90  assert (zenon_L261_ : (forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (c2_1 (a2077)) -> (c3_1 (a2077)) -> (c1_1 (a2077)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H59 zenon_Hf zenon_H27 zenon_H5d zenon_H52 zenon_H51.
% 0.69/0.90  generalize (zenon_H59 (a2077)). zenon_intro zenon_H5a.
% 0.69/0.90  apply (zenon_imply_s _ _ zenon_H5a); [ zenon_intro zenon_He | zenon_intro zenon_H5b ].
% 0.69/0.90  exact (zenon_He zenon_Hf).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H50 | zenon_intro zenon_H55 ].
% 0.69/0.90  generalize (zenon_H27 (a2077)). zenon_intro zenon_H271.
% 0.69/0.90  apply (zenon_imply_s _ _ zenon_H271); [ zenon_intro zenon_He | zenon_intro zenon_H272 ].
% 0.69/0.90  exact (zenon_He zenon_Hf).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H56 | zenon_intro zenon_H60 ].
% 0.69/0.90  exact (zenon_H50 zenon_H56).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H61 | zenon_intro zenon_H57 ].
% 0.69/0.90  exact (zenon_H61 zenon_H5d).
% 0.69/0.90  exact (zenon_H57 zenon_H52).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ].
% 0.69/0.90  exact (zenon_H58 zenon_H51).
% 0.69/0.90  exact (zenon_H57 zenon_H52).
% 0.69/0.90  (* end of lemma zenon_L261_ *)
% 0.69/0.90  assert (zenon_L262_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (c1_1 (a2077)) -> (c3_1 (a2077)) -> (c2_1 (a2077)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> (ndr1_0) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H51 zenon_H52 zenon_H5d zenon_H27 zenon_H22 zenon_H20 zenon_Ha7 zenon_Ha8 zenon_Ha9 zenon_Hf.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ].
% 0.69/0.90  apply (zenon_L23_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ].
% 0.69/0.90  apply (zenon_L261_); trivial.
% 0.69/0.90  apply (zenon_L71_); trivial.
% 0.69/0.90  (* end of lemma zenon_L262_ *)
% 0.69/0.90  assert (zenon_L263_ : (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(c1_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_Hf1 zenon_Hf zenon_H264 zenon_H258 zenon_H259.
% 0.69/0.90  generalize (zenon_Hf1 (a2071)). zenon_intro zenon_H273.
% 0.69/0.90  apply (zenon_imply_s _ _ zenon_H273); [ zenon_intro zenon_He | zenon_intro zenon_H274 ].
% 0.69/0.90  exact (zenon_He zenon_Hf).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H25e | zenon_intro zenon_H26a ].
% 0.69/0.90  exact (zenon_H264 zenon_H25e).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H262 | zenon_intro zenon_H263 ].
% 0.69/0.90  exact (zenon_H262 zenon_H258).
% 0.69/0.90  exact (zenon_H263 zenon_H259).
% 0.69/0.90  (* end of lemma zenon_L263_ *)
% 0.69/0.90  assert (zenon_L264_ : (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (ndr1_0) -> (c0_1 (a2071)) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (c2_1 (a2071)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H159 zenon_Hf zenon_H258 zenon_Hf1 zenon_H259.
% 0.69/0.90  generalize (zenon_H159 (a2071)). zenon_intro zenon_H25f.
% 0.69/0.90  apply (zenon_imply_s _ _ zenon_H25f); [ zenon_intro zenon_He | zenon_intro zenon_H260 ].
% 0.69/0.90  exact (zenon_He zenon_Hf).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H262 | zenon_intro zenon_H261 ].
% 0.69/0.90  exact (zenon_H262 zenon_H258).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H264 | zenon_intro zenon_H263 ].
% 0.69/0.90  apply (zenon_L263_); trivial.
% 0.69/0.90  exact (zenon_H263 zenon_H259).
% 0.69/0.90  (* end of lemma zenon_L264_ *)
% 0.69/0.90  assert (zenon_L265_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2073)) -> (c3_1 (a2073)) -> (c1_1 (a2073)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c2_1 (a2077)) -> (c3_1 (a2077)) -> (c1_1 (a2077)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a2071)) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (c0_1 (a2071)) -> (ndr1_0) -> (~(hskp26)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H212 zenon_Ha9 zenon_Ha8 zenon_Ha7 zenon_H20 zenon_H22 zenon_H5d zenon_H52 zenon_H51 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H259 zenon_Hf1 zenon_H258 zenon_Hf zenon_H11d.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ].
% 0.69/0.90  apply (zenon_L262_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ].
% 0.69/0.90  apply (zenon_L264_); trivial.
% 0.69/0.90  exact (zenon_H11d zenon_H11e).
% 0.69/0.90  (* end of lemma zenon_L265_ *)
% 0.69/0.90  assert (zenon_L266_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(hskp23)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp14)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H12d zenon_H20d zenon_H88 zenon_H8 zenon_H86 zenon_H26f zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H175 zenon_H176 zenon_H177 zenon_H1de zenon_H1dd zenon_H1e6 zenon_H188 zenon_H18b zenon_H20 zenon_H22 zenon_H212 zenon_H259 zenon_H258 zenon_Hfb zenon_H64 zenon_Hcc.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.90  apply (zenon_L40_); trivial.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H66 ].
% 0.69/0.90  apply (zenon_L260_); trivial.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_Hf. zenon_intro zenon_H67.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H51. zenon_intro zenon_H68.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H5d. zenon_intro zenon_H52.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ].
% 0.69/0.90  apply (zenon_L136_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ].
% 0.69/0.90  apply (zenon_L262_); trivial.
% 0.69/0.90  apply (zenon_L265_); trivial.
% 0.69/0.90  apply (zenon_L206_); trivial.
% 0.69/0.90  (* end of lemma zenon_L266_ *)
% 0.69/0.90  assert (zenon_L267_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_Hcf zenon_H25 zenon_H23 zenon_H11f zenon_Hcc zenon_H64 zenon_Hfb zenon_H258 zenon_H259 zenon_H212 zenon_H22 zenon_H20 zenon_H18b zenon_H188 zenon_H1e6 zenon_H1dd zenon_H1de zenon_H177 zenon_H176 zenon_H175 zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H26f zenon_H8 zenon_H88 zenon_H20d zenon_H12d.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.90  apply (zenon_L266_); trivial.
% 0.69/0.90  apply (zenon_L169_); trivial.
% 0.69/0.90  (* end of lemma zenon_L267_ *)
% 0.69/0.90  assert (zenon_L268_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(c3_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_Hc8 zenon_H1a4 zenon_H1ed zenon_H33 zenon_Ha3 zenon_H1eb zenon_Hcf zenon_H25 zenon_H23 zenon_H11f zenon_Hcc zenon_H64 zenon_Hfb zenon_H258 zenon_H259 zenon_H212 zenon_H22 zenon_H18b zenon_H1e6 zenon_H1dd zenon_H1de zenon_H177 zenon_H176 zenon_H175 zenon_H62 zenon_H26f zenon_H8 zenon_H88 zenon_H20d zenon_H12d zenon_H1f5 zenon_H208 zenon_H3b.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.90  apply (zenon_L267_); trivial.
% 0.69/0.90  apply (zenon_L174_); trivial.
% 0.69/0.90  apply (zenon_L143_); trivial.
% 0.69/0.90  (* end of lemma zenon_L268_ *)
% 0.69/0.90  assert (zenon_L269_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c2_1 (a2069)) -> (c3_1 (a2069)) -> (c0_1 (a2069)) -> (~(hskp20)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (c3_1 (a2104)) -> (~(c0_1 (a2104))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (~(c1_1 (a2104))) -> (ndr1_0) -> (~(hskp4)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H191 zenon_Hc1 zenon_H31 zenon_H163 zenon_H122 zenon_H123 zenon_H121 zenon_H15d zenon_Hc4 zenon_H162 zenon_H161 zenon_H27 zenon_H15f zenon_Hf zenon_H23.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H160 | zenon_intro zenon_H194 ].
% 0.69/0.90  apply (zenon_L96_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H94 | zenon_intro zenon_H24 ].
% 0.69/0.90  apply (zenon_L97_); trivial.
% 0.69/0.90  exact (zenon_H23 zenon_H24).
% 0.69/0.90  (* end of lemma zenon_L269_ *)
% 0.69/0.90  assert (zenon_L270_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(hskp5)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2104))) -> (~(c0_1 (a2104))) -> (c3_1 (a2104)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp20)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (~(c1_1 (a2110))) -> (c0_1 (a2110)) -> (c2_1 (a2110)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H12a zenon_Hfb zenon_H8 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H25 zenon_H23 zenon_H15f zenon_H161 zenon_H162 zenon_Hc4 zenon_H15d zenon_H163 zenon_H31 zenon_Hc1 zenon_H191 zenon_Hf2 zenon_Hf3 zenon_Hf4.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ].
% 0.69/0.90  apply (zenon_L159_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ].
% 0.69/0.90  apply (zenon_L269_); trivial.
% 0.69/0.90  apply (zenon_L57_); trivial.
% 0.69/0.90  (* end of lemma zenon_L270_ *)
% 0.69/0.90  assert (zenon_L271_ : ((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((hskp17)\/((hskp23)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H18f zenon_Hff zenon_H190 zenon_H18b zenon_H188 zenon_H177 zenon_H176 zenon_H175 zenon_Hcc zenon_H136 zenon_H22 zenon_H9e zenon_H96 zenon_H95 zenon_H8 zenon_H88 zenon_H25 zenon_H23 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H191 zenon_H163 zenon_Hfb zenon_H12d zenon_H33 zenon_H36 zenon_H3b zenon_H26d zenon_Ha3 zenon_H31 zenon_Hc1 zenon_Hc4 zenon_Hcf.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H192.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H162. zenon_intro zenon_H193.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H161. zenon_intro zenon_H15f.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ].
% 0.69/0.90  apply (zenon_L258_); trivial.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.90  apply (zenon_L86_); trivial.
% 0.69/0.90  apply (zenon_L270_); trivial.
% 0.69/0.90  apply (zenon_L50_); trivial.
% 0.69/0.90  apply (zenon_L17_); trivial.
% 0.69/0.90  apply (zenon_L102_); trivial.
% 0.69/0.90  (* end of lemma zenon_L271_ *)
% 0.69/0.90  assert (zenon_L272_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(hskp23)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H12d zenon_H1ed zenon_H33 zenon_H198 zenon_H197 zenon_H196 zenon_H88 zenon_H8 zenon_H86 zenon_H95 zenon_H96 zenon_H9e zenon_H22 zenon_H20 zenon_H136 zenon_Hcc.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.90  apply (zenon_L86_); trivial.
% 0.69/0.90  apply (zenon_L142_); trivial.
% 0.69/0.90  (* end of lemma zenon_L272_ *)
% 0.69/0.90  assert (zenon_L273_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(c0_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c2_1 (a2097))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_Hcf zenon_Hc4 zenon_Hc1 zenon_H31 zenon_Hcc zenon_H136 zenon_H20 zenon_H22 zenon_H9e zenon_H96 zenon_H95 zenon_H8 zenon_H88 zenon_H196 zenon_H197 zenon_H198 zenon_H33 zenon_H1ed zenon_H12d.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.90  apply (zenon_L272_); trivial.
% 0.69/0.90  apply (zenon_L50_); trivial.
% 0.69/0.90  (* end of lemma zenon_L273_ *)
% 0.69/0.90  assert (zenon_L274_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H1a1 zenon_H3b zenon_H36 zenon_H12d zenon_H1ed zenon_H33 zenon_H88 zenon_H8 zenon_H95 zenon_H96 zenon_H9e zenon_H22 zenon_H136 zenon_Hcc zenon_H31 zenon_Hc1 zenon_Hc4 zenon_Hcf.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.90  apply (zenon_L273_); trivial.
% 0.69/0.90  apply (zenon_L17_); trivial.
% 0.69/0.90  (* end of lemma zenon_L274_ *)
% 0.69/0.90  assert (zenon_L275_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> (~(hskp11)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((hskp17)\/((hskp23)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H1a4 zenon_H1ed zenon_H208 zenon_H151 zenon_H259 zenon_H258 zenon_H25a zenon_H96 zenon_H95 zenon_H9e zenon_H31 zenon_H203 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H8 zenon_H1f5 zenon_Hcf zenon_Hc4 zenon_Hc1 zenon_Ha3 zenon_H26d zenon_H3b zenon_H36 zenon_H33 zenon_H12d zenon_Hfb zenon_H163 zenon_H191 zenon_H23 zenon_H25 zenon_H88 zenon_H22 zenon_H136 zenon_Hcc zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_H190 zenon_Hff zenon_H1a5.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H14f | zenon_intro zenon_H18f ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H205 ].
% 0.69/0.90  apply (zenon_L146_); trivial.
% 0.69/0.90  apply (zenon_L246_); trivial.
% 0.69/0.90  apply (zenon_L271_); trivial.
% 0.69/0.90  apply (zenon_L274_); trivial.
% 0.69/0.90  (* end of lemma zenon_L275_ *)
% 0.69/0.90  assert (zenon_L276_ : (forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105)))))) -> (ndr1_0) -> (~(c3_1 (a2071))) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H237 zenon_Hf zenon_H25a zenon_Hf1 zenon_H258 zenon_H259.
% 0.69/0.90  generalize (zenon_H237 (a2071)). zenon_intro zenon_H26b.
% 0.69/0.90  apply (zenon_imply_s _ _ zenon_H26b); [ zenon_intro zenon_He | zenon_intro zenon_H26c ].
% 0.69/0.90  exact (zenon_He zenon_Hf).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H265 | zenon_intro zenon_H261 ].
% 0.69/0.90  exact (zenon_H25a zenon_H265).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H264 | zenon_intro zenon_H263 ].
% 0.69/0.90  apply (zenon_L263_); trivial.
% 0.69/0.90  exact (zenon_H263 zenon_H259).
% 0.69/0.90  (* end of lemma zenon_L276_ *)
% 0.69/0.90  assert (zenon_L277_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (c1_1 (a2172)) -> (~(c3_1 (a2172))) -> (~(c0_1 (a2172))) -> (~(hskp12)) -> (ndr1_0) -> (~(c3_1 (a2071))) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(hskp8)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H7e zenon_H72 zenon_H71 zenon_H70 zenon_H69 zenon_Hf zenon_H25a zenon_Hf1 zenon_H258 zenon_H259 zenon_Ha7 zenon_Ha8 zenon_Ha9 zenon_H23b zenon_H7c.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6f | zenon_intro zenon_H7f ].
% 0.69/0.90  apply (zenon_L32_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H79 | zenon_intro zenon_H7d ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H10 | zenon_intro zenon_H23c ].
% 0.69/0.90  apply (zenon_L46_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H237 | zenon_intro zenon_H6a ].
% 0.69/0.90  apply (zenon_L276_); trivial.
% 0.69/0.90  exact (zenon_H69 zenon_H6a).
% 0.69/0.90  exact (zenon_H7c zenon_H7d).
% 0.69/0.90  (* end of lemma zenon_L277_ *)
% 0.69/0.90  assert (zenon_L278_ : ((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H81 zenon_Hcc zenon_Hfb zenon_H23b zenon_H69 zenon_H259 zenon_H258 zenon_H25a zenon_H7c zenon_H7e zenon_H2a zenon_H29 zenon_H28 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H20d.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H82.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H72. zenon_intro zenon_H83.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H70. zenon_intro zenon_H71.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.90  apply (zenon_L227_); trivial.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ].
% 0.69/0.90  apply (zenon_L226_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ].
% 0.69/0.90  apply (zenon_L14_); trivial.
% 0.69/0.90  apply (zenon_L277_); trivial.
% 0.69/0.90  (* end of lemma zenon_L278_ *)
% 0.69/0.90  assert (zenon_L279_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp12)) -> (~(hskp18)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H35 zenon_H80 zenon_Hcc zenon_Hfb zenon_H23b zenon_H259 zenon_H258 zenon_H25a zenon_H7c zenon_H7e zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H20d zenon_H69 zenon_Ha zenon_H6d.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6b | zenon_intro zenon_H81 ].
% 0.69/0.90  apply (zenon_L31_); trivial.
% 0.69/0.90  apply (zenon_L278_); trivial.
% 0.69/0.90  (* end of lemma zenon_L279_ *)
% 0.69/0.90  assert (zenon_L280_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp12)) -> (~(c3_1 (a2071))) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c2_1 (a2116))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (ndr1_0) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H1c5 zenon_H69 zenon_H25a zenon_Hf1 zenon_H258 zenon_H259 zenon_H11 zenon_H13 zenon_H14 zenon_H23b zenon_Hde zenon_Hdd zenon_Hdc zenon_Hf zenon_H1b0 zenon_H1b1 zenon_H1bc.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H12 | zenon_intro zenon_H1c6 ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H10 | zenon_intro zenon_H23c ].
% 0.69/0.90  apply (zenon_L9_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H237 | zenon_intro zenon_H6a ].
% 0.69/0.90  apply (zenon_L276_); trivial.
% 0.69/0.90  exact (zenon_H69 zenon_H6a).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1bb ].
% 0.69/0.90  apply (zenon_L54_); trivial.
% 0.69/0.90  apply (zenon_L114_); trivial.
% 0.69/0.90  (* end of lemma zenon_L280_ *)
% 0.69/0.90  assert (zenon_L281_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp12)) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c2_1 (a2116))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H35 zenon_Hfb zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H69 zenon_H25a zenon_H258 zenon_H259 zenon_H11 zenon_H13 zenon_H14 zenon_H23b zenon_Hde zenon_Hdd zenon_Hdc zenon_H1b0 zenon_H1b1 zenon_H1bc.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ].
% 0.69/0.90  apply (zenon_L226_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ].
% 0.69/0.90  apply (zenon_L14_); trivial.
% 0.69/0.90  apply (zenon_L280_); trivial.
% 0.69/0.90  (* end of lemma zenon_L281_ *)
% 0.69/0.90  assert (zenon_L282_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H3a zenon_H3b zenon_Hfb zenon_H23b zenon_H69 zenon_H259 zenon_H258 zenon_H25a zenon_H1dd zenon_H1de zenon_H1e6 zenon_H22 zenon_Hdc zenon_Hdd zenon_Hde zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.90  apply (zenon_L119_); trivial.
% 0.69/0.90  apply (zenon_L281_); trivial.
% 0.69/0.90  (* end of lemma zenon_L282_ *)
% 0.69/0.90  assert (zenon_L283_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H103 zenon_Hd0 zenon_He5 zenon_H3b zenon_Hfb zenon_H23b zenon_H259 zenon_H258 zenon_H25a zenon_H6d zenon_H20d zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H22 zenon_H7c zenon_H7e zenon_Hcc zenon_H80 zenon_H3e.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.90  apply (zenon_L229_); trivial.
% 0.69/0.90  apply (zenon_L279_); trivial.
% 0.69/0.90  apply (zenon_L282_); trivial.
% 0.69/0.90  apply (zenon_L59_); trivial.
% 0.69/0.90  (* end of lemma zenon_L283_ *)
% 0.69/0.90  assert (zenon_L284_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c2_1 (a2074))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H116 zenon_H114 zenon_Hd0 zenon_He5 zenon_H3b zenon_Hfb zenon_H23b zenon_H259 zenon_H258 zenon_H25a zenon_H6d zenon_H20d zenon_H1b0 zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H22 zenon_H7c zenon_H7e zenon_Hcc zenon_H80 zenon_H3e zenon_H36 zenon_H33 zenon_Hc4 zenon_H1d3 zenon_H62 zenon_H1bc zenon_H1b1 zenon_H65 zenon_H12d zenon_Hcb.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.90  apply (zenon_L129_); trivial.
% 0.69/0.90  apply (zenon_L283_); trivial.
% 0.69/0.90  (* end of lemma zenon_L284_ *)
% 0.69/0.90  assert (zenon_L285_ : (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H1cb zenon_Hf zenon_H275 zenon_H276 zenon_H277.
% 0.69/0.90  generalize (zenon_H1cb (a2070)). zenon_intro zenon_H278.
% 0.69/0.90  apply (zenon_imply_s _ _ zenon_H278); [ zenon_intro zenon_He | zenon_intro zenon_H279 ].
% 0.69/0.90  exact (zenon_He zenon_Hf).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H27b | zenon_intro zenon_H27a ].
% 0.69/0.90  exact (zenon_H275 zenon_H27b).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H27d | zenon_intro zenon_H27c ].
% 0.69/0.90  exact (zenon_H27d zenon_H276).
% 0.69/0.90  exact (zenon_H27c zenon_H277).
% 0.69/0.90  (* end of lemma zenon_L285_ *)
% 0.69/0.90  assert (zenon_L286_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(c2_1 (a2116))) -> (c1_1 (a2116)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (ndr1_0) -> (~(hskp9)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H252 zenon_H11 zenon_H14 zenon_H20 zenon_H22 zenon_H277 zenon_H276 zenon_H275 zenon_Hf zenon_Hb5.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H8a | zenon_intro zenon_H253 ].
% 0.69/0.90  apply (zenon_L53_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1cb | zenon_intro zenon_Hb6 ].
% 0.69/0.90  apply (zenon_L285_); trivial.
% 0.69/0.90  exact (zenon_Hb5 zenon_Hb6).
% 0.69/0.90  (* end of lemma zenon_L286_ *)
% 0.69/0.90  assert (zenon_L287_ : ((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (~(hskp9)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_Hd1 zenon_H252 zenon_H277 zenon_H276 zenon_H275 zenon_Hb5.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H8a | zenon_intro zenon_H253 ].
% 0.69/0.90  apply (zenon_L41_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1cb | zenon_intro zenon_Hb6 ].
% 0.69/0.90  apply (zenon_L285_); trivial.
% 0.69/0.90  exact (zenon_Hb5 zenon_Hb6).
% 0.69/0.90  (* end of lemma zenon_L287_ *)
% 0.69/0.90  assert (zenon_L288_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> (~(hskp11)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_Hd0 zenon_H3b zenon_H36 zenon_H33 zenon_H31 zenon_H80 zenon_Hcc zenon_H11b zenon_H23 zenon_H22 zenon_H8 zenon_H88 zenon_H6d zenon_H11f zenon_H12d zenon_Hcf zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H3e.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.90  apply (zenon_L81_); trivial.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.90  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.90  apply (zenon_L286_); trivial.
% 0.69/0.90  apply (zenon_L17_); trivial.
% 0.69/0.90  apply (zenon_L287_); trivial.
% 0.69/0.90  (* end of lemma zenon_L288_ *)
% 0.69/0.90  assert (zenon_L289_ : (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (~(c0_1 (a2140))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H165 zenon_Hf zenon_H4f zenon_H28 zenon_H2a zenon_H29.
% 0.69/0.90  generalize (zenon_H165 (a2140)). zenon_intro zenon_H1c7.
% 0.69/0.90  apply (zenon_imply_s _ _ zenon_H1c7); [ zenon_intro zenon_He | zenon_intro zenon_H1c8 ].
% 0.69/0.90  exact (zenon_He zenon_Hf).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2d ].
% 0.69/0.90  generalize (zenon_H4f (a2140)). zenon_intro zenon_H27e.
% 0.69/0.90  apply (zenon_imply_s _ _ zenon_H27e); [ zenon_intro zenon_He | zenon_intro zenon_H27f ].
% 0.69/0.90  exact (zenon_He zenon_Hf).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H2e | zenon_intro zenon_H280 ].
% 0.69/0.90  exact (zenon_H28 zenon_H2e).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_Hec | zenon_intro zenon_H2f ].
% 0.69/0.90  exact (zenon_Hec zenon_Hf0).
% 0.69/0.90  exact (zenon_H2f zenon_H2a).
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 0.69/0.90  exact (zenon_H30 zenon_H29).
% 0.69/0.90  exact (zenon_H2f zenon_H2a).
% 0.69/0.90  (* end of lemma zenon_L289_ *)
% 0.69/0.90  assert (zenon_L290_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (c2_1 (a2140)) -> (c3_1 (a2140)) -> (~(c0_1 (a2140))) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (~(hskp26)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H1d3 zenon_H48 zenon_H47 zenon_H46 zenon_H29 zenon_H2a zenon_H28 zenon_H4f zenon_Hf zenon_H11d.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d4 ].
% 0.69/0.90  apply (zenon_L23_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H165 | zenon_intro zenon_H11e ].
% 0.69/0.90  apply (zenon_L289_); trivial.
% 0.69/0.90  exact (zenon_H11d zenon_H11e).
% 0.69/0.90  (* end of lemma zenon_L290_ *)
% 0.69/0.90  assert (zenon_L291_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (~(hskp26)) -> (ndr1_0) -> (~(c0_1 (a2140))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(hskp28)) -> (~(hskp4)) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H266 zenon_H11d zenon_Hf zenon_H28 zenon_H2a zenon_H29 zenon_H46 zenon_H47 zenon_H48 zenon_H1d3 zenon_H1f3 zenon_H23.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H4f | zenon_intro zenon_H267 ].
% 0.69/0.90  apply (zenon_L290_); trivial.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H24 ].
% 0.69/0.90  exact (zenon_H1f3 zenon_H1f4).
% 0.69/0.90  exact (zenon_H23 zenon_H24).
% 0.69/0.90  (* end of lemma zenon_L291_ *)
% 0.69/0.90  assert (zenon_L292_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(hskp26)) -> (c2_1 (a2140)) -> (c3_1 (a2140)) -> (~(c0_1 (a2140))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (ndr1_0) -> (~(hskp4)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> False).
% 0.69/0.90  do 0 intro. intros zenon_H208 zenon_H212 zenon_H1d3 zenon_H11d zenon_H29 zenon_H2a zenon_H28 zenon_H48 zenon_H47 zenon_H46 zenon_Hf zenon_H23 zenon_H266.
% 0.69/0.90  apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H205 ].
% 0.69/0.90  apply (zenon_L291_); trivial.
% 0.69/0.90  apply (zenon_L170_); trivial.
% 0.69/0.90  (* end of lemma zenon_L292_ *)
% 0.69/0.91  assert (zenon_L293_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp23)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (ndr1_0) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> (~(c0_1 (a2140))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H12d zenon_Hcc zenon_H62 zenon_H86 zenon_H8 zenon_H88 zenon_H266 zenon_H23 zenon_Hf zenon_H46 zenon_H47 zenon_H48 zenon_H28 zenon_H2a zenon_H29 zenon_H1d3 zenon_H212 zenon_H208.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.91  apply (zenon_L292_); trivial.
% 0.69/0.91  apply (zenon_L172_); trivial.
% 0.69/0.91  (* end of lemma zenon_L293_ *)
% 0.69/0.91  assert (zenon_L294_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> (~(hskp12)) -> (~(hskp18)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp4)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H35 zenon_Hcf zenon_H80 zenon_H11b zenon_H11f zenon_H69 zenon_Ha zenon_H6d zenon_H208 zenon_H212 zenon_H1d3 zenon_H48 zenon_H47 zenon_H46 zenon_H23 zenon_H266 zenon_H88 zenon_H8 zenon_H62 zenon_Hcc zenon_H12d.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.91  apply (zenon_L293_); trivial.
% 0.69/0.91  apply (zenon_L79_); trivial.
% 0.69/0.91  (* end of lemma zenon_L294_ *)
% 0.69/0.91  assert (zenon_L295_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp12)) -> (~(hskp18)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H3b zenon_H208 zenon_H212 zenon_H1d3 zenon_H48 zenon_H47 zenon_H46 zenon_H266 zenon_H62 zenon_H80 zenon_Hcc zenon_H11b zenon_H23 zenon_H22 zenon_H8 zenon_H88 zenon_H69 zenon_Ha zenon_H6d zenon_H11f zenon_H12d zenon_Hcf.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.91  apply (zenon_L80_); trivial.
% 0.69/0.91  apply (zenon_L294_); trivial.
% 0.69/0.91  (* end of lemma zenon_L295_ *)
% 0.69/0.91  assert (zenon_L296_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(c2_1 (a2116))) -> (c1_1 (a2116)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp9)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hd4 zenon_Hcd zenon_H11 zenon_H14 zenon_H20 zenon_H22 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_Hb5.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ].
% 0.69/0.91  apply (zenon_L53_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ].
% 0.69/0.91  apply (zenon_L259_); trivial.
% 0.69/0.91  exact (zenon_Hb5 zenon_Hb6).
% 0.69/0.91  (* end of lemma zenon_L296_ *)
% 0.69/0.91  assert (zenon_L297_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a2116))) -> (c1_1 (a2116)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp23)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hcc zenon_Hcd zenon_Hb5 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H11 zenon_H14 zenon_H20 zenon_H22 zenon_H86 zenon_H8 zenon_H88.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.91  apply (zenon_L40_); trivial.
% 0.69/0.91  apply (zenon_L296_); trivial.
% 0.69/0.91  (* end of lemma zenon_L297_ *)
% 0.69/0.91  assert (zenon_L298_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2116)) -> (~(c2_1 (a2116))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hcf zenon_H152 zenon_H3 zenon_H88 zenon_H8 zenon_H22 zenon_H20 zenon_H14 zenon_H11 zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_Hb5 zenon_Hcd zenon_Hcc.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.91  apply (zenon_L297_); trivial.
% 0.69/0.91  apply (zenon_L181_); trivial.
% 0.69/0.91  (* end of lemma zenon_L298_ *)
% 0.69/0.91  assert (zenon_L299_ : (forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (ndr1_0) -> (c0_1 (a2070)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c2_1 (a2070))) -> (c3_1 (a2070)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H59 zenon_Hf zenon_H276 zenon_H94 zenon_H275 zenon_H277.
% 0.69/0.91  generalize (zenon_H59 (a2070)). zenon_intro zenon_H281.
% 0.69/0.91  apply (zenon_imply_s _ _ zenon_H281); [ zenon_intro zenon_He | zenon_intro zenon_H282 ].
% 0.69/0.91  exact (zenon_He zenon_Hf).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H27d | zenon_intro zenon_H283 ].
% 0.69/0.91  exact (zenon_H27d zenon_H276).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H284 | zenon_intro zenon_H27c ].
% 0.69/0.91  generalize (zenon_H94 (a2070)). zenon_intro zenon_H285.
% 0.69/0.91  apply (zenon_imply_s _ _ zenon_H285); [ zenon_intro zenon_He | zenon_intro zenon_H286 ].
% 0.69/0.91  exact (zenon_He zenon_Hf).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H288 | zenon_intro zenon_H287 ].
% 0.69/0.91  exact (zenon_H284 zenon_H288).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H27c ].
% 0.69/0.91  exact (zenon_H275 zenon_H27b).
% 0.69/0.91  exact (zenon_H27c zenon_H277).
% 0.69/0.91  exact (zenon_H27c zenon_H277).
% 0.69/0.91  (* end of lemma zenon_L299_ *)
% 0.69/0.91  assert (zenon_L300_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (c3_1 (a2070)) -> (~(c2_1 (a2070))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (c0_1 (a2070)) -> (ndr1_0) -> (c0_1 (a2069)) -> (c2_1 (a2069)) -> (c3_1 (a2069)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H277 zenon_H275 zenon_H94 zenon_H276 zenon_Hf zenon_H121 zenon_H122 zenon_H123.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ].
% 0.69/0.91  apply (zenon_L23_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ].
% 0.69/0.91  apply (zenon_L299_); trivial.
% 0.69/0.91  apply (zenon_L76_); trivial.
% 0.69/0.91  (* end of lemma zenon_L300_ *)
% 0.69/0.91  assert (zenon_L301_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (c3_1 (a2070)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp4)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H35 zenon_Hcf zenon_H64 zenon_H289 zenon_H216 zenon_H276 zenon_H275 zenon_H277 zenon_H41 zenon_H43 zenon_H11f zenon_H208 zenon_H212 zenon_H1d3 zenon_H48 zenon_H47 zenon_H46 zenon_H23 zenon_H266 zenon_H88 zenon_H8 zenon_H62 zenon_Hcc zenon_H12d.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.91  apply (zenon_L293_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.91  apply (zenon_L75_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H66 ].
% 0.69/0.91  apply (zenon_L22_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_Hf. zenon_intro zenon_H67.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H51. zenon_intro zenon_H68.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H5d. zenon_intro zenon_H52.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H4f | zenon_intro zenon_H28a ].
% 0.69/0.91  apply (zenon_L27_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H94 | zenon_intro zenon_H217 ].
% 0.69/0.91  apply (zenon_L300_); trivial.
% 0.69/0.91  exact (zenon_H216 zenon_H217).
% 0.69/0.91  (* end of lemma zenon_L301_ *)
% 0.69/0.91  assert (zenon_L302_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a2099)) -> (~(c3_1 (a2099))) -> (~(c2_1 (a2099))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H3a zenon_H3b zenon_H225 zenon_H14f zenon_H21e zenon_H21d zenon_H21c zenon_Hcc zenon_Hcd zenon_Hb5 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H22 zenon_H8 zenon_H88 zenon_H3 zenon_H152 zenon_Hcf.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.91  apply (zenon_L298_); trivial.
% 0.69/0.91  apply (zenon_L184_); trivial.
% 0.69/0.91  (* end of lemma zenon_L302_ *)
% 0.69/0.91  assert (zenon_L303_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp12)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> (~(c2_1 (a2099))) -> (~(c3_1 (a2099))) -> (c0_1 (a2099)) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H3e zenon_Hcd zenon_Hb5 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H3 zenon_H152 zenon_Hcf zenon_H12d zenon_H11f zenon_H6d zenon_H69 zenon_H88 zenon_H8 zenon_H22 zenon_H23 zenon_H11b zenon_Hcc zenon_H80 zenon_H21c zenon_H21d zenon_H21e zenon_H14f zenon_H225 zenon_H3b.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.91  apply (zenon_L80_); trivial.
% 0.69/0.91  apply (zenon_L184_); trivial.
% 0.69/0.91  apply (zenon_L302_); trivial.
% 0.69/0.91  (* end of lemma zenon_L303_ *)
% 0.69/0.91  assert (zenon_L304_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (c0_1 (a2069)) -> (c2_1 (a2069)) -> (c3_1 (a2069)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_Hb7 zenon_Hf zenon_H121 zenon_H122 zenon_H123.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ].
% 0.69/0.91  apply (zenon_L23_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ].
% 0.69/0.91  apply (zenon_L88_); trivial.
% 0.69/0.91  apply (zenon_L76_); trivial.
% 0.69/0.91  (* end of lemma zenon_L304_ *)
% 0.69/0.91  assert (zenon_L305_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a2116))) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32)))))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H10 zenon_Hf zenon_H11 zenon_H6f zenon_H13 zenon_H14.
% 0.69/0.91  generalize (zenon_H10 (a2116)). zenon_intro zenon_H15.
% 0.69/0.91  apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_He | zenon_intro zenon_H16 ].
% 0.69/0.91  exact (zenon_He zenon_Hf).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ].
% 0.69/0.91  exact (zenon_H11 zenon_H18).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ].
% 0.69/0.91  generalize (zenon_H6f (a2116)). zenon_intro zenon_H28b.
% 0.69/0.91  apply (zenon_imply_s _ _ zenon_H28b); [ zenon_intro zenon_He | zenon_intro zenon_H28c ].
% 0.69/0.91  exact (zenon_He zenon_Hf).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H1e | zenon_intro zenon_H22e ].
% 0.69/0.91  exact (zenon_H1a zenon_H1e).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1f | zenon_intro zenon_H19 ].
% 0.69/0.91  exact (zenon_H13 zenon_H1f).
% 0.69/0.91  exact (zenon_H19 zenon_H14).
% 0.69/0.91  exact (zenon_H19 zenon_H14).
% 0.69/0.91  (* end of lemma zenon_L305_ *)
% 0.69/0.91  assert (zenon_L306_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a2140)) -> (c3_1 (a2140)) -> (~(c0_1 (a2140))) -> (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (c3_1 (a2069)) -> (c2_1 (a2069)) -> (c0_1 (a2069)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (ndr1_0) -> (~(c2_1 (a2116))) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32)))))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H28d zenon_H29 zenon_H2a zenon_H28 zenon_H165 zenon_H123 zenon_H122 zenon_H121 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_Hf zenon_H11 zenon_H6f zenon_H13 zenon_H14.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H4f | zenon_intro zenon_H28e ].
% 0.69/0.91  apply (zenon_L289_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H10 ].
% 0.69/0.91  apply (zenon_L304_); trivial.
% 0.69/0.91  apply (zenon_L305_); trivial.
% 0.69/0.91  (* end of lemma zenon_L306_ *)
% 0.69/0.91  assert (zenon_L307_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a2116)) -> (~(c3_1 (a2116))) -> (~(c2_1 (a2116))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (c3_1 (a2104)) -> (~(c1_1 (a2104))) -> (~(c0_1 (a2104))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H35 zenon_H12d zenon_H22f zenon_H28d zenon_H14 zenon_H13 zenon_H11 zenon_H62 zenon_H11b zenon_H162 zenon_H15f zenon_H161 zenon_H266 zenon_H23 zenon_H46 zenon_H47 zenon_H48 zenon_H1d3 zenon_H212 zenon_H208.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.91  apply (zenon_L292_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H227 | zenon_intro zenon_H230 ].
% 0.69/0.91  apply (zenon_L185_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H165 | zenon_intro zenon_H22b ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11c ].
% 0.69/0.91  apply (zenon_L306_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H5c | zenon_intro zenon_H24 ].
% 0.69/0.91  apply (zenon_L76_); trivial.
% 0.69/0.91  exact (zenon_H23 zenon_H24).
% 0.69/0.91  apply (zenon_L186_); trivial.
% 0.69/0.91  (* end of lemma zenon_L307_ *)
% 0.69/0.91  assert (zenon_L308_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (c3_1 (a2104)) -> (~(c1_1 (a2104))) -> (~(c0_1 (a2104))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H3a zenon_H3b zenon_H12d zenon_H22f zenon_H28d zenon_H11b zenon_H162 zenon_H15f zenon_H161 zenon_H266 zenon_H23 zenon_H1d3 zenon_H212 zenon_H208 zenon_Hcc zenon_Hcd zenon_Hb5 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H22 zenon_H8 zenon_H88 zenon_H3 zenon_H152 zenon_Hcf.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.91  apply (zenon_L298_); trivial.
% 0.69/0.91  apply (zenon_L307_); trivial.
% 0.69/0.91  (* end of lemma zenon_L308_ *)
% 0.69/0.91  assert (zenon_L309_ : ((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp12)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H18f zenon_H3e zenon_H22f zenon_H28d zenon_Hcd zenon_Hb5 zenon_H3 zenon_H152 zenon_Hcf zenon_H12d zenon_H11f zenon_H6d zenon_H69 zenon_H88 zenon_H8 zenon_H22 zenon_H23 zenon_H11b zenon_Hcc zenon_H80 zenon_H62 zenon_H266 zenon_H46 zenon_H47 zenon_H48 zenon_H1d3 zenon_H212 zenon_H208 zenon_H3b.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H192.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H162. zenon_intro zenon_H193.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H161. zenon_intro zenon_H15f.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.91  apply (zenon_L295_); trivial.
% 0.69/0.91  apply (zenon_L308_); trivial.
% 0.69/0.91  (* end of lemma zenon_L309_ *)
% 0.69/0.91  assert (zenon_L310_ : ((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099)))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H231 zenon_H1a5 zenon_H22f zenon_H28d zenon_H266 zenon_H1d3 zenon_H212 zenon_H208 zenon_H3b zenon_H225 zenon_H80 zenon_Hcc zenon_H11b zenon_H23 zenon_H22 zenon_H8 zenon_H88 zenon_H69 zenon_H6d zenon_H11f zenon_H12d zenon_Hcf zenon_H152 zenon_H3 zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_Hb5 zenon_Hcd zenon_H3e.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_Hf. zenon_intro zenon_H232.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H21e. zenon_intro zenon_H233.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H21c. zenon_intro zenon_H21d.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H14f | zenon_intro zenon_H18f ].
% 0.69/0.91  apply (zenon_L303_); trivial.
% 0.69/0.91  apply (zenon_L309_); trivial.
% 0.69/0.91  (* end of lemma zenon_L310_ *)
% 0.69/0.91  assert (zenon_L311_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (~(hskp3)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H116 zenon_H1c9 zenon_H277 zenon_H276 zenon_H275 zenon_H41.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H165 | zenon_intro zenon_H1ca ].
% 0.69/0.91  apply (zenon_L125_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1cb | zenon_intro zenon_H42 ].
% 0.69/0.91  apply (zenon_L285_); trivial.
% 0.69/0.91  exact (zenon_H41 zenon_H42).
% 0.69/0.91  (* end of lemma zenon_L311_ *)
% 0.69/0.91  assert (zenon_L312_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp5)) -> (c3_1 (a2074)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5))) -> (ndr1_0) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hcd zenon_H8 zenon_H1bc zenon_H1c1 zenon_Hf zenon_H275 zenon_H276 zenon_H277 zenon_H1b0 zenon_H1b1 zenon_H252 zenon_Hb5.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ].
% 0.69/0.91  apply (zenon_L115_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H8a | zenon_intro zenon_H253 ].
% 0.69/0.91  apply (zenon_L113_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1cb | zenon_intro zenon_Hb6 ].
% 0.69/0.91  apply (zenon_L285_); trivial.
% 0.69/0.91  exact (zenon_Hb5 zenon_Hb6).
% 0.69/0.91  exact (zenon_Hb5 zenon_Hb6).
% 0.69/0.91  (* end of lemma zenon_L312_ *)
% 0.69/0.91  assert (zenon_L313_ : ((ndr1_0)/\((c1_1 (a2074))/\((c3_1 (a2074))/\(~(c2_1 (a2074)))))) -> ((~(hskp5))\/((ndr1_0)/\((c1_1 (a2076))/\((c3_1 (a2076))/\(~(c0_1 (a2076))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5))) -> (~(hskp3)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H28f zenon_H290 zenon_H65 zenon_H33 zenon_Hcd zenon_H275 zenon_H276 zenon_H277 zenon_H252 zenon_H1c1 zenon_H41 zenon_H1c9 zenon_H115.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.69/0.91  apply (zenon_L312_); trivial.
% 0.69/0.91  apply (zenon_L311_); trivial.
% 0.69/0.91  apply (zenon_L132_); trivial.
% 0.69/0.91  (* end of lemma zenon_L313_ *)
% 0.69/0.91  assert (zenon_L314_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp10)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hc8 zenon_Hd0 zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H153 zenon_Hcc zenon_H62 zenon_H23b zenon_H8 zenon_H88 zenon_Hc1 zenon_H235 zenon_H11f zenon_H20d zenon_H23 zenon_H25 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H12d zenon_Hcf.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.91  apply (zenon_L196_); trivial.
% 0.69/0.91  apply (zenon_L169_); trivial.
% 0.69/0.91  apply (zenon_L287_); trivial.
% 0.69/0.91  (* end of lemma zenon_L314_ *)
% 0.69/0.91  assert (zenon_L315_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H116 zenon_H114 zenon_H209 zenon_H36 zenon_H33 zenon_Hc4 zenon_H1d3 zenon_H20d zenon_H8 zenon_H23 zenon_H25 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H62 zenon_Hcc zenon_H12d zenon_Hcb.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.91  apply (zenon_L65_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.91  apply (zenon_L126_); trivial.
% 0.69/0.91  apply (zenon_L167_); trivial.
% 0.69/0.91  apply (zenon_L156_); trivial.
% 0.69/0.91  (* end of lemma zenon_L315_ *)
% 0.69/0.91  assert (zenon_L316_ : ((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H1d7 zenon_H115 zenon_H1a4 zenon_H254 zenon_H208 zenon_H163 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1f5 zenon_H18b zenon_H190 zenon_H1c1 zenon_H8 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H252 zenon_H277 zenon_H276 zenon_H275 zenon_Hcd.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.69/0.91  apply (zenon_L312_); trivial.
% 0.69/0.91  apply (zenon_L239_); trivial.
% 0.69/0.91  (* end of lemma zenon_L316_ *)
% 0.69/0.91  assert (zenon_L317_ : ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp4))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (ndr1_0) -> (~(hskp4)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H293 zenon_H277 zenon_H276 zenon_H275 zenon_H259 zenon_H258 zenon_H25a zenon_Hf zenon_H23.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H1cb | zenon_intro zenon_H294 ].
% 0.69/0.91  apply (zenon_L285_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H149 | zenon_intro zenon_H24 ].
% 0.69/0.91  apply (zenon_L245_); trivial.
% 0.69/0.91  exact (zenon_H23 zenon_H24).
% 0.69/0.91  (* end of lemma zenon_L317_ *)
% 0.69/0.91  assert (zenon_L318_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H160 zenon_Hf zenon_H295 zenon_H296 zenon_H297.
% 0.69/0.91  generalize (zenon_H160 (a2068)). zenon_intro zenon_H298.
% 0.69/0.91  apply (zenon_imply_s _ _ zenon_H298); [ zenon_intro zenon_He | zenon_intro zenon_H299 ].
% 0.69/0.91  exact (zenon_He zenon_Hf).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H29b | zenon_intro zenon_H29a ].
% 0.69/0.91  exact (zenon_H295 zenon_H29b).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H29d | zenon_intro zenon_H29c ].
% 0.69/0.91  exact (zenon_H296 zenon_H29d).
% 0.69/0.91  exact (zenon_H29c zenon_H297).
% 0.69/0.91  (* end of lemma zenon_L318_ *)
% 0.69/0.91  assert (zenon_L319_ : (forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80)))))) -> (ndr1_0) -> (~(c1_1 (a2110))) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a2110)) -> (c2_1 (a2110)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H45 zenon_Hf zenon_Hf2 zenon_H5c zenon_Hf3 zenon_Hf4.
% 0.69/0.91  generalize (zenon_H45 (a2110)). zenon_intro zenon_H29e.
% 0.69/0.91  apply (zenon_imply_s _ _ zenon_H29e); [ zenon_intro zenon_He | zenon_intro zenon_H29f ].
% 0.69/0.91  exact (zenon_He zenon_Hf).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H2a0 ].
% 0.69/0.91  exact (zenon_Hf2 zenon_Hf8).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2a1 | zenon_intro zenon_Hfa ].
% 0.69/0.91  generalize (zenon_H5c (a2110)). zenon_intro zenon_H2a2.
% 0.69/0.91  apply (zenon_imply_s _ _ zenon_H2a2); [ zenon_intro zenon_He | zenon_intro zenon_H2a3 ].
% 0.69/0.91  exact (zenon_He zenon_Hf).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_Hfa | zenon_intro zenon_H2a4 ].
% 0.69/0.91  exact (zenon_Hfa zenon_Hf3).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H2a5 ].
% 0.69/0.91  exact (zenon_Hf9 zenon_Hf4).
% 0.69/0.91  exact (zenon_H2a5 zenon_H2a1).
% 0.69/0.91  exact (zenon_Hfa zenon_Hf3).
% 0.69/0.91  (* end of lemma zenon_L319_ *)
% 0.69/0.91  assert (zenon_L320_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H94 zenon_Hf zenon_H1bb zenon_H296 zenon_H297.
% 0.69/0.91  generalize (zenon_H94 (a2068)). zenon_intro zenon_H2a6.
% 0.69/0.91  apply (zenon_imply_s _ _ zenon_H2a6); [ zenon_intro zenon_He | zenon_intro zenon_H2a7 ].
% 0.69/0.91  exact (zenon_He zenon_Hf).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H29a ].
% 0.69/0.91  generalize (zenon_H1bb (a2068)). zenon_intro zenon_H2a9.
% 0.69/0.91  apply (zenon_imply_s _ _ zenon_H2a9); [ zenon_intro zenon_He | zenon_intro zenon_H2aa ].
% 0.69/0.91  exact (zenon_He zenon_Hf).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H29d | zenon_intro zenon_H2ab ].
% 0.69/0.91  exact (zenon_H296 zenon_H29d).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2ac | zenon_intro zenon_H29c ].
% 0.69/0.91  exact (zenon_H2ac zenon_H2a8).
% 0.69/0.91  exact (zenon_H29c zenon_H297).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H29d | zenon_intro zenon_H29c ].
% 0.69/0.91  exact (zenon_H296 zenon_H29d).
% 0.69/0.91  exact (zenon_H29c zenon_H297).
% 0.69/0.91  (* end of lemma zenon_L320_ *)
% 0.69/0.91  assert (zenon_L321_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (c2_1 (a2110)) -> (c0_1 (a2110)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (~(c1_1 (a2110))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(hskp3)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H1cf zenon_Hf4 zenon_Hf3 zenon_H5c zenon_Hf2 zenon_H297 zenon_H296 zenon_Hf zenon_H94 zenon_H41.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d0 ].
% 0.69/0.91  apply (zenon_L319_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H42 ].
% 0.69/0.91  apply (zenon_L320_); trivial.
% 0.69/0.91  exact (zenon_H41 zenon_H42).
% 0.69/0.91  (* end of lemma zenon_L321_ *)
% 0.69/0.91  assert (zenon_L322_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (~(c0_1 (a2068))) -> (~(hskp3)) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp4)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hc8 zenon_H191 zenon_H295 zenon_H41 zenon_H296 zenon_H297 zenon_H1cf zenon_H23.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H160 | zenon_intro zenon_H194 ].
% 0.69/0.91  apply (zenon_L318_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H94 | zenon_intro zenon_H24 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d0 ].
% 0.69/0.91  apply (zenon_L23_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H42 ].
% 0.69/0.91  apply (zenon_L320_); trivial.
% 0.69/0.91  exact (zenon_H41 zenon_H42).
% 0.69/0.91  exact (zenon_H23 zenon_H24).
% 0.69/0.91  (* end of lemma zenon_L322_ *)
% 0.69/0.91  assert (zenon_L323_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((hskp17)\/((hskp23)\/(hskp1))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp3)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hcb zenon_Hcf zenon_Hc4 zenon_Hc1 zenon_Ha3 zenon_H26d zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_H41 zenon_H1cf zenon_H23 zenon_H191 zenon_Hff.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ].
% 0.69/0.91  apply (zenon_L258_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H160 | zenon_intro zenon_H194 ].
% 0.69/0.91  apply (zenon_L318_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H94 | zenon_intro zenon_H24 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ae ].
% 0.69/0.91  apply (zenon_L318_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hc2 ].
% 0.69/0.91  apply (zenon_L321_); trivial.
% 0.69/0.91  exact (zenon_Hc1 zenon_Hc2).
% 0.69/0.91  exact (zenon_H23 zenon_H24).
% 0.69/0.91  apply (zenon_L322_); trivial.
% 0.69/0.91  (* end of lemma zenon_L323_ *)
% 0.69/0.91  assert (zenon_L324_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H103 zenon_Hcb zenon_H191 zenon_H23 zenon_H1cf zenon_H297 zenon_H296 zenon_H295 zenon_Hff zenon_H3e zenon_H3b zenon_Hfb zenon_Hfc zenon_H22 zenon_He5 zenon_H6d zenon_H43 zenon_H41 zenon_H8 zenon_H7c zenon_H7e zenon_H64 zenon_H80 zenon_H3 zenon_H5 zenon_Hd0.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.91  apply (zenon_L60_); trivial.
% 0.69/0.91  apply (zenon_L322_); trivial.
% 0.69/0.91  (* end of lemma zenon_L324_ *)
% 0.69/0.91  assert (zenon_L325_ : ((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((hskp17)\/((hskp23)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H1d7 zenon_H114 zenon_Hfc zenon_Hff zenon_H191 zenon_H23 zenon_H1cf zenon_H41 zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H26d zenon_Ha3 zenon_Hc4 zenon_Hcf zenon_Hcb.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.91  apply (zenon_L323_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.91  apply (zenon_L107_); trivial.
% 0.69/0.91  apply (zenon_L322_); trivial.
% 0.69/0.91  (* end of lemma zenon_L325_ *)
% 0.69/0.91  assert (zenon_L326_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a2076))) -> (~(c2_1 (a2076))) -> (c1_1 (a2076)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H8a zenon_Hf zenon_H1a6 zenon_H2af zenon_H1a7.
% 0.69/0.91  generalize (zenon_H8a (a2076)). zenon_intro zenon_H2b0.
% 0.69/0.91  apply (zenon_imply_s _ _ zenon_H2b0); [ zenon_intro zenon_He | zenon_intro zenon_H2b1 ].
% 0.69/0.91  exact (zenon_He zenon_Hf).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H1ac | zenon_intro zenon_H2b2 ].
% 0.69/0.91  exact (zenon_H1a6 zenon_H1ac).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H1ae ].
% 0.69/0.91  exact (zenon_H2af zenon_H2b3).
% 0.69/0.91  exact (zenon_H1ae zenon_H1a7).
% 0.69/0.91  (* end of lemma zenon_L326_ *)
% 0.69/0.91  assert (zenon_L327_ : (forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (c1_1 (a2076)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (~(c0_1 (a2076))) -> (c3_1 (a2076)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H79 zenon_Hf zenon_H1a7 zenon_H8a zenon_H1a6 zenon_H1a8.
% 0.69/0.91  generalize (zenon_H79 (a2076)). zenon_intro zenon_H2b4.
% 0.69/0.91  apply (zenon_imply_s _ _ zenon_H2b4); [ zenon_intro zenon_He | zenon_intro zenon_H2b5 ].
% 0.69/0.91  exact (zenon_He zenon_Hf).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H1ae | zenon_intro zenon_H2b6 ].
% 0.69/0.91  exact (zenon_H1ae zenon_H1a7).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H2af | zenon_intro zenon_H1ad ].
% 0.69/0.91  apply (zenon_L326_); trivial.
% 0.69/0.91  exact (zenon_H1ad zenon_H1a8).
% 0.69/0.91  (* end of lemma zenon_L327_ *)
% 0.69/0.91  assert (zenon_L328_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (c1_1 (a2172)) -> (~(c3_1 (a2172))) -> (~(c0_1 (a2172))) -> (c3_1 (a2076)) -> (~(c0_1 (a2076))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (c1_1 (a2076)) -> (ndr1_0) -> (~(hskp8)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H7e zenon_H72 zenon_H71 zenon_H70 zenon_H1a8 zenon_H1a6 zenon_H8a zenon_H1a7 zenon_Hf zenon_H7c.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6f | zenon_intro zenon_H7f ].
% 0.69/0.91  apply (zenon_L32_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H79 | zenon_intro zenon_H7d ].
% 0.69/0.91  apply (zenon_L327_); trivial.
% 0.69/0.91  exact (zenon_H7c zenon_H7d).
% 0.69/0.91  (* end of lemma zenon_L328_ *)
% 0.69/0.91  assert (zenon_L329_ : ((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (c3_1 (a2076)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (~(hskp8)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H81 zenon_He5 zenon_H1a7 zenon_H1a6 zenon_H1a8 zenon_H7e zenon_Hde zenon_Hdd zenon_Hdc zenon_H7c.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H82.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H72. zenon_intro zenon_H83.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H70. zenon_intro zenon_H71.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H8a | zenon_intro zenon_He6 ].
% 0.69/0.91  apply (zenon_L328_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H7d ].
% 0.69/0.91  apply (zenon_L54_); trivial.
% 0.69/0.91  exact (zenon_H7c zenon_H7d).
% 0.69/0.91  (* end of lemma zenon_L329_ *)
% 0.69/0.91  assert (zenon_L330_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (c3_1 (a2076)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp12)) -> (~(hskp18)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H80 zenon_He5 zenon_Hde zenon_Hdd zenon_Hdc zenon_H1a7 zenon_H1a6 zenon_H1a8 zenon_H7c zenon_H7e zenon_H69 zenon_Ha zenon_H6d.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6b | zenon_intro zenon_H81 ].
% 0.69/0.91  apply (zenon_L31_); trivial.
% 0.69/0.91  apply (zenon_L329_); trivial.
% 0.69/0.91  (* end of lemma zenon_L330_ *)
% 0.69/0.91  assert (zenon_L331_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))\/(hskp17))) -> (c1_1 (a2116)) -> (~(c3_1 (a2116))) -> (~(c2_1 (a2116))) -> (~(hskp17)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hc3 zenon_H2b7 zenon_H14 zenon_H13 zenon_H11 zenon_H1.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H2b8 ].
% 0.69/0.91  apply (zenon_L48_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H22b | zenon_intro zenon_H2 ].
% 0.69/0.91  apply (zenon_L186_); trivial.
% 0.69/0.91  exact (zenon_H1 zenon_H2).
% 0.69/0.91  (* end of lemma zenon_L331_ *)
% 0.69/0.91  assert (zenon_L332_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp1)) -> ((hskp17)\/((hskp23)\/(hskp1))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H3a zenon_Hcf zenon_H2b7 zenon_H1 zenon_Ha3 zenon_H26d.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.69/0.91  apply (zenon_L257_); trivial.
% 0.69/0.91  apply (zenon_L331_); trivial.
% 0.69/0.91  (* end of lemma zenon_L332_ *)
% 0.69/0.91  assert (zenon_L333_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp1)) -> ((hskp17)\/((hskp23)\/(hskp1))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp12)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a2076)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H3e zenon_Hcf zenon_H2b7 zenon_H1 zenon_Ha3 zenon_H26d zenon_H6d zenon_H69 zenon_H7e zenon_H7c zenon_H1a8 zenon_H1a6 zenon_H1a7 zenon_Hdc zenon_Hdd zenon_Hde zenon_He5 zenon_H80.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.91  apply (zenon_L330_); trivial.
% 0.69/0.91  apply (zenon_L332_); trivial.
% 0.69/0.91  (* end of lemma zenon_L333_ *)
% 0.69/0.91  assert (zenon_L334_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a2116))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H2b9 zenon_H297 zenon_H296 zenon_H295 zenon_H10 zenon_Hf zenon_H11 zenon_H13 zenon_H14.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ba ].
% 0.69/0.91  apply (zenon_L318_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H6f | zenon_intro zenon_H22b ].
% 0.69/0.91  apply (zenon_L305_); trivial.
% 0.69/0.91  apply (zenon_L186_); trivial.
% 0.69/0.91  (* end of lemma zenon_L334_ *)
% 0.69/0.91  assert (zenon_L335_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2116)) -> (~(c3_1 (a2116))) -> (~(c2_1 (a2116))) -> (ndr1_0) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (~(hskp9)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hcd zenon_H20 zenon_H22 zenon_H14 zenon_H13 zenon_H11 zenon_Hf zenon_H295 zenon_H296 zenon_H297 zenon_H2b9 zenon_Hb5.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ].
% 0.69/0.91  apply (zenon_L53_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ].
% 0.69/0.91  apply (zenon_L334_); trivial.
% 0.69/0.91  exact (zenon_Hb5 zenon_Hb6).
% 0.69/0.91  (* end of lemma zenon_L335_ *)
% 0.69/0.91  assert (zenon_L336_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (c3_1 (a2076)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((hskp17)\/((hskp23)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H114 zenon_Ha5 zenon_H3b zenon_Hfb zenon_Hfc zenon_H22 zenon_H2b9 zenon_Hb5 zenon_Hcd zenon_H80 zenon_He5 zenon_H1a7 zenon_H1a6 zenon_H1a8 zenon_H7c zenon_H7e zenon_H6d zenon_H2b7 zenon_H3e zenon_Hd0 zenon_Hff zenon_H191 zenon_H23 zenon_H1cf zenon_H41 zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H26d zenon_Ha3 zenon_Hc4 zenon_Hcf zenon_Hcb.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.91  apply (zenon_L323_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ].
% 0.69/0.91  apply (zenon_L333_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.91  apply (zenon_L330_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.91  apply (zenon_L335_); trivial.
% 0.69/0.91  apply (zenon_L58_); trivial.
% 0.69/0.91  apply (zenon_L59_); trivial.
% 0.69/0.91  apply (zenon_L51_); trivial.
% 0.69/0.91  (* end of lemma zenon_L336_ *)
% 0.69/0.91  assert (zenon_L337_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp27)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H256 zenon_Hc1 zenon_H31 zenon_Hc4 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H84.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H27 | zenon_intro zenon_H257 ].
% 0.69/0.91  apply (zenon_L64_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H165 | zenon_intro zenon_H85 ].
% 0.69/0.91  apply (zenon_L125_); trivial.
% 0.69/0.91  exact (zenon_H84 zenon_H85).
% 0.69/0.91  (* end of lemma zenon_L337_ *)
% 0.69/0.91  assert (zenon_L338_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp10)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hd4 zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H20 zenon_H22 zenon_Hc1.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ae ].
% 0.69/0.91  apply (zenon_L318_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hc2 ].
% 0.69/0.91  apply (zenon_L71_); trivial.
% 0.69/0.91  exact (zenon_Hc1 zenon_Hc2).
% 0.69/0.91  (* end of lemma zenon_L338_ *)
% 0.69/0.91  assert (zenon_L339_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hcc zenon_H2ad zenon_H20 zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_Hc1 zenon_H31 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H256.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.91  apply (zenon_L337_); trivial.
% 0.69/0.91  apply (zenon_L338_); trivial.
% 0.69/0.91  (* end of lemma zenon_L339_ *)
% 0.69/0.91  assert (zenon_L340_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a2099)) -> (~(c3_1 (a2099))) -> (~(c2_1 (a2099))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H3b zenon_H225 zenon_H14f zenon_H21e zenon_H21d zenon_H21c zenon_H256 zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_H31 zenon_Hc1 zenon_Hc4 zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.91  apply (zenon_L339_); trivial.
% 0.69/0.91  apply (zenon_L184_); trivial.
% 0.69/0.91  (* end of lemma zenon_L340_ *)
% 0.69/0.91  assert (zenon_L341_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp7)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H2bb zenon_H297 zenon_H296 zenon_H295 zenon_Hf zenon_H84 zenon_H214.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H160 | zenon_intro zenon_H2bc ].
% 0.69/0.91  apply (zenon_L318_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H85 | zenon_intro zenon_H215 ].
% 0.69/0.91  exact (zenon_H84 zenon_H85).
% 0.69/0.91  exact (zenon_H214 zenon_H215).
% 0.69/0.91  (* end of lemma zenon_L341_ *)
% 0.69/0.91  assert (zenon_L342_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> (c3_1 (a2104)) -> (~(c1_1 (a2104))) -> (~(c0_1 (a2104))) -> (~(hskp7)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hd4 zenon_H2bd zenon_H162 zenon_H15f zenon_H161 zenon_H214.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H227 | zenon_intro zenon_H2be ].
% 0.69/0.91  apply (zenon_L185_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H59 | zenon_intro zenon_H215 ].
% 0.69/0.91  apply (zenon_L165_); trivial.
% 0.69/0.91  exact (zenon_H214 zenon_H215).
% 0.69/0.91  (* end of lemma zenon_L342_ *)
% 0.69/0.91  assert (zenon_L343_ : ((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H18f zenon_Hcc zenon_H2bd zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H192.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H162. zenon_intro zenon_H193.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H161. zenon_intro zenon_H15f.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.91  apply (zenon_L341_); trivial.
% 0.69/0.91  apply (zenon_L342_); trivial.
% 0.69/0.91  (* end of lemma zenon_L343_ *)
% 0.69/0.91  assert (zenon_L344_ : ((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099)))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H231 zenon_H1a5 zenon_H2bd zenon_H214 zenon_H2bb zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_Hc1 zenon_H31 zenon_H108 zenon_H107 zenon_H106 zenon_H256 zenon_H225 zenon_H3b.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_Hf. zenon_intro zenon_H232.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H21e. zenon_intro zenon_H233.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H21c. zenon_intro zenon_H21d.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H14f | zenon_intro zenon_H18f ].
% 0.69/0.91  apply (zenon_L340_); trivial.
% 0.69/0.91  apply (zenon_L343_); trivial.
% 0.69/0.91  (* end of lemma zenon_L344_ *)
% 0.69/0.91  assert (zenon_L345_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(hskp10)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H12a zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_Hc1.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ae ].
% 0.69/0.91  apply (zenon_L318_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hc2 ].
% 0.69/0.91  apply (zenon_L76_); trivial.
% 0.69/0.91  exact (zenon_Hc1 zenon_Hc2).
% 0.69/0.91  (* end of lemma zenon_L345_ *)
% 0.69/0.91  assert (zenon_L346_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hc8 zenon_H12d zenon_H2ad zenon_Hc1 zenon_H297 zenon_H296 zenon_H295 zenon_H106 zenon_H107 zenon_H108 zenon_H1d3.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.91  apply (zenon_L126_); trivial.
% 0.69/0.91  apply (zenon_L345_); trivial.
% 0.69/0.91  (* end of lemma zenon_L346_ *)
% 0.69/0.91  assert (zenon_L347_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> (~(hskp7)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hcb zenon_H12d zenon_H1d3 zenon_H218 zenon_H214 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H3b zenon_H225 zenon_H256 zenon_Hc1 zenon_Hc4 zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc zenon_H2bb zenon_H2bd zenon_H1a5 zenon_H234.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H216 | zenon_intro zenon_H231 ].
% 0.69/0.91  apply (zenon_L177_); trivial.
% 0.69/0.91  apply (zenon_L344_); trivial.
% 0.69/0.91  apply (zenon_L346_); trivial.
% 0.69/0.91  (* end of lemma zenon_L347_ *)
% 0.69/0.91  assert (zenon_L348_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c1_1 (a2116)) -> (~(c3_1 (a2116))) -> (~(c2_1 (a2116))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (~(c1_1 (a2110))) -> (c0_1 (a2110)) -> (c2_1 (a2110)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H35 zenon_Hfb zenon_H14 zenon_H13 zenon_H11 zenon_H28d zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H108 zenon_H107 zenon_H106 zenon_H295 zenon_H296 zenon_H297 zenon_H2b9 zenon_Hf2 zenon_Hf3 zenon_Hf4.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ba ].
% 0.69/0.91  apply (zenon_L318_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H6f | zenon_intro zenon_H22b ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H4f | zenon_intro zenon_H28e ].
% 0.69/0.91  apply (zenon_L110_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H10 ].
% 0.69/0.91  generalize (zenon_Hb7 (a2084)). zenon_intro zenon_H109.
% 0.69/0.91  apply (zenon_imply_s _ _ zenon_H109); [ zenon_intro zenon_He | zenon_intro zenon_H10a ].
% 0.69/0.91  exact (zenon_He zenon_Hf).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H10c | zenon_intro zenon_H10b ].
% 0.69/0.91  exact (zenon_H106 zenon_H10c).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H10e | zenon_intro zenon_H10d ].
% 0.69/0.91  generalize (zenon_He8 (a2084)). zenon_intro zenon_H2bf.
% 0.69/0.91  apply (zenon_imply_s _ _ zenon_H2bf); [ zenon_intro zenon_He | zenon_intro zenon_H2c0 ].
% 0.69/0.91  exact (zenon_He zenon_Hf).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H112 | zenon_intro zenon_H2c1 ].
% 0.69/0.91  exact (zenon_H10e zenon_H112).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H10c | zenon_intro zenon_H113 ].
% 0.69/0.91  exact (zenon_H106 zenon_H10c).
% 0.69/0.91  exact (zenon_H113 zenon_H107).
% 0.69/0.91  exact (zenon_H10d zenon_H108).
% 0.69/0.91  apply (zenon_L305_); trivial.
% 0.69/0.91  apply (zenon_L186_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ].
% 0.69/0.91  apply (zenon_L14_); trivial.
% 0.69/0.91  apply (zenon_L57_); trivial.
% 0.69/0.91  (* end of lemma zenon_L348_ *)
% 0.69/0.91  assert (zenon_L349_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))\/(hskp17))) -> (~(hskp1)) -> ((hskp17)\/((hskp23)\/(hskp1))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a2076)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H103 zenon_Hd0 zenon_H3e zenon_Hcf zenon_H2b7 zenon_Ha3 zenon_H26d zenon_H6d zenon_H7e zenon_H7c zenon_H1a8 zenon_H1a6 zenon_H1a7 zenon_He5 zenon_H80 zenon_H22 zenon_H2b9 zenon_H106 zenon_H107 zenon_H108 zenon_H28d zenon_H297 zenon_H296 zenon_H295 zenon_Hfb zenon_H3b zenon_Hff.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ].
% 0.69/0.91  apply (zenon_L333_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.91  apply (zenon_L330_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.91  apply (zenon_L55_); trivial.
% 0.69/0.91  apply (zenon_L348_); trivial.
% 0.69/0.91  apply (zenon_L59_); trivial.
% 0.69/0.91  (* end of lemma zenon_L349_ *)
% 0.69/0.91  assert (zenon_L350_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp12)) -> (~(hskp10)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H35 zenon_H153 zenon_H12d zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H240 zenon_H23f zenon_H212 zenon_H69 zenon_Hc1 zenon_H235.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H12e | zenon_intro zenon_H154 ].
% 0.69/0.91  apply (zenon_L191_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H155.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H142. zenon_intro zenon_H156.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14a. zenon_intro zenon_H141.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.91  apply (zenon_L204_); trivial.
% 0.69/0.91  apply (zenon_L345_); trivial.
% 0.69/0.91  (* end of lemma zenon_L350_ *)
% 0.69/0.91  assert (zenon_L351_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(c0_1 (a2095))) -> (~(c2_1 (a2095))) -> (c1_1 (a2095)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> (~(c3_1 (a2079))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H35 zenon_H12d zenon_H2ad zenon_Hc1 zenon_H297 zenon_H296 zenon_H295 zenon_H8b zenon_H8c zenon_H8d zenon_H225 zenon_H14f zenon_H106 zenon_H107 zenon_H108 zenon_H23f zenon_H240 zenon_H2c2 zenon_H212 zenon_H3 zenon_H152.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H8a | zenon_intro zenon_H157 ].
% 0.69/0.91  apply (zenon_L41_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H4 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H27 | zenon_intro zenon_H226 ].
% 0.69/0.91  apply (zenon_L14_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H150 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ].
% 0.69/0.91  apply (zenon_L63_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ].
% 0.69/0.91  generalize (zenon_H1f7 (a2079)). zenon_intro zenon_H2c3.
% 0.69/0.91  apply (zenon_imply_s _ _ zenon_H2c3); [ zenon_intro zenon_He | zenon_intro zenon_H2c4 ].
% 0.69/0.91  exact (zenon_He zenon_Hf).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H241 | zenon_intro zenon_H2c5 ].
% 0.69/0.91  apply (zenon_L198_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H245 ].
% 0.69/0.91  exact (zenon_H2c2 zenon_H2c6).
% 0.69/0.91  exact (zenon_H245 zenon_H23f).
% 0.69/0.91  exact (zenon_H11d zenon_H11e).
% 0.69/0.91  exact (zenon_H14f zenon_H150).
% 0.69/0.91  exact (zenon_H3 zenon_H4).
% 0.69/0.91  apply (zenon_L345_); trivial.
% 0.69/0.91  (* end of lemma zenon_L351_ *)
% 0.69/0.91  assert (zenon_L352_ : (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))) -> (ndr1_0) -> (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> (~(c3_1 (a2079))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H22b zenon_Hf zenon_H159 zenon_H23f zenon_H240 zenon_H2c2.
% 0.69/0.91  generalize (zenon_H22b (a2079)). zenon_intro zenon_H2c7.
% 0.69/0.91  apply (zenon_imply_s _ _ zenon_H2c7); [ zenon_intro zenon_He | zenon_intro zenon_H2c8 ].
% 0.69/0.91  exact (zenon_He zenon_Hf).
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H241 | zenon_intro zenon_H2c9 ].
% 0.69/0.91  apply (zenon_L198_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H247 ].
% 0.69/0.91  exact (zenon_H2c2 zenon_H2c6).
% 0.69/0.91  exact (zenon_H247 zenon_H240).
% 0.69/0.91  (* end of lemma zenon_L352_ *)
% 0.69/0.91  assert (zenon_L353_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (~(c3_1 (a2079))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))) -> (~(hskp26)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H212 zenon_H2a zenon_H29 zenon_H28 zenon_H2c2 zenon_H240 zenon_H23f zenon_Hf zenon_H22b zenon_H11d.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ].
% 0.69/0.91  apply (zenon_L14_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ].
% 0.69/0.91  apply (zenon_L352_); trivial.
% 0.69/0.91  exact (zenon_H11d zenon_H11e).
% 0.69/0.91  (* end of lemma zenon_L353_ *)
% 0.69/0.91  assert (zenon_L354_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(c0_1 (a2104))) -> (~(c1_1 (a2104))) -> (c3_1 (a2104)) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c3_1 (a2079))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H35 zenon_H12d zenon_H2ad zenon_Hc1 zenon_H297 zenon_H296 zenon_H295 zenon_H161 zenon_H15f zenon_H162 zenon_H106 zenon_H107 zenon_H108 zenon_H212 zenon_H2c2 zenon_H240 zenon_H23f zenon_H22f.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H227 | zenon_intro zenon_H230 ].
% 0.69/0.91  apply (zenon_L185_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H165 | zenon_intro zenon_H22b ].
% 0.69/0.91  apply (zenon_L125_); trivial.
% 0.69/0.91  apply (zenon_L353_); trivial.
% 0.69/0.91  apply (zenon_L345_); trivial.
% 0.69/0.91  (* end of lemma zenon_L354_ *)
% 0.69/0.91  assert (zenon_L355_ : ((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c3_1 (a2079))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H18f zenon_H3b zenon_H12d zenon_H212 zenon_H2c2 zenon_H240 zenon_H23f zenon_H22f zenon_H256 zenon_H106 zenon_H107 zenon_H108 zenon_H31 zenon_Hc1 zenon_Hc4 zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H192.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H162. zenon_intro zenon_H193.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H161. zenon_intro zenon_H15f.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.91  apply (zenon_L339_); trivial.
% 0.69/0.91  apply (zenon_L354_); trivial.
% 0.69/0.91  (* end of lemma zenon_L355_ *)
% 0.69/0.91  assert (zenon_L356_ : ((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095)))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c3_1 (a2079))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hd1 zenon_H1a5 zenon_H22f zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_Hc1 zenon_H31 zenon_H108 zenon_H107 zenon_H106 zenon_H256 zenon_H152 zenon_H3 zenon_H212 zenon_H2c2 zenon_H240 zenon_H23f zenon_H225 zenon_H12d zenon_H3b.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H14f | zenon_intro zenon_H18f ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.91  apply (zenon_L339_); trivial.
% 0.69/0.91  apply (zenon_L351_); trivial.
% 0.69/0.91  apply (zenon_L355_); trivial.
% 0.69/0.91  (* end of lemma zenon_L356_ *)
% 0.69/0.91  assert (zenon_L357_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> (~(c3_1 (a2079))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hcb zenon_H1d3 zenon_H3b zenon_H153 zenon_H12d zenon_H23b zenon_H240 zenon_H23f zenon_H212 zenon_H235 zenon_H256 zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_Hc1 zenon_Hc4 zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc zenon_H225 zenon_H2c2 zenon_H3 zenon_H152 zenon_H22f zenon_H1a5 zenon_Hd0.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.91  apply (zenon_L339_); trivial.
% 0.69/0.91  apply (zenon_L350_); trivial.
% 0.69/0.91  apply (zenon_L356_); trivial.
% 0.69/0.91  apply (zenon_L346_); trivial.
% 0.69/0.91  (* end of lemma zenon_L357_ *)
% 0.69/0.91  assert (zenon_L358_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((hskp17)\/((hskp23)\/(hskp1))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hcb zenon_Hcf zenon_Hc4 zenon_Hc1 zenon_Ha3 zenon_H26d zenon_H295 zenon_H296 zenon_H297 zenon_H1cf zenon_H41 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H2ad zenon_Hff.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ].
% 0.69/0.91  apply (zenon_L258_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ae ].
% 0.69/0.91  apply (zenon_L318_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hc2 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d0 ].
% 0.69/0.91  apply (zenon_L319_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H42 ].
% 0.69/0.91  apply (zenon_L114_); trivial.
% 0.69/0.91  exact (zenon_H41 zenon_H42).
% 0.69/0.91  exact (zenon_Hc1 zenon_Hc2).
% 0.69/0.91  apply (zenon_L123_); trivial.
% 0.69/0.91  (* end of lemma zenon_L358_ *)
% 0.69/0.91  assert (zenon_L359_ : ((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> (~(hskp3)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((hskp17)\/((hskp23)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H1d7 zenon_H114 zenon_Hfc zenon_Hff zenon_H2ad zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H41 zenon_H1cf zenon_H297 zenon_H296 zenon_H295 zenon_H26d zenon_Ha3 zenon_Hc4 zenon_Hcf zenon_Hcb.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.91  apply (zenon_L358_); trivial.
% 0.69/0.91  apply (zenon_L130_); trivial.
% 0.69/0.91  (* end of lemma zenon_L359_ *)
% 0.69/0.91  assert (zenon_L360_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a2076)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> (~(hskp3)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((hskp17)\/((hskp23)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H114 zenon_Ha5 zenon_H3e zenon_H3b zenon_H1c9 zenon_Hfc zenon_H22 zenon_H2b9 zenon_Hb5 zenon_Hcd zenon_H6d zenon_H7e zenon_H7c zenon_H1a8 zenon_H1a6 zenon_H1a7 zenon_He5 zenon_H80 zenon_Hd0 zenon_Hff zenon_H2ad zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H41 zenon_H1cf zenon_H297 zenon_H296 zenon_H295 zenon_H26d zenon_Ha3 zenon_Hc4 zenon_Hcf zenon_Hcb.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.91  apply (zenon_L358_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.91  apply (zenon_L330_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.91  apply (zenon_L335_); trivial.
% 0.69/0.91  apply (zenon_L122_); trivial.
% 0.69/0.91  apply (zenon_L59_); trivial.
% 0.69/0.91  apply (zenon_L51_); trivial.
% 0.69/0.91  (* end of lemma zenon_L360_ *)
% 0.69/0.91  assert (zenon_L361_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))\/(hskp17))) -> (~(hskp1)) -> ((hskp17)\/((hskp23)\/(hskp1))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a2076)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H103 zenon_Hd0 zenon_H3e zenon_Hcf zenon_H2b7 zenon_Ha3 zenon_H26d zenon_H6d zenon_H7e zenon_H7c zenon_H1a8 zenon_H1a6 zenon_H1a7 zenon_He5 zenon_H80 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H22 zenon_H2b9 zenon_H106 zenon_H107 zenon_H108 zenon_H28d zenon_H297 zenon_H296 zenon_H295 zenon_Hfb zenon_H3b zenon_Hff.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ].
% 0.69/0.91  apply (zenon_L333_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.91  apply (zenon_L330_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.91  apply (zenon_L119_); trivial.
% 0.69/0.91  apply (zenon_L348_); trivial.
% 0.69/0.91  apply (zenon_L59_); trivial.
% 0.69/0.91  (* end of lemma zenon_L361_ *)
% 0.69/0.91  assert (zenon_L362_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(hskp12)) -> (~(c3_1 (a2160))) -> (c1_1 (a2160)) -> (c2_1 (a2160)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(hskp10)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hd4 zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H69 zenon_H141 zenon_H142 zenon_H14a zenon_H23b zenon_Hc1.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ae ].
% 0.69/0.91  apply (zenon_L318_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hc2 ].
% 0.69/0.91  apply (zenon_L193_); trivial.
% 0.69/0.91  exact (zenon_Hc1 zenon_Hc2).
% 0.69/0.91  (* end of lemma zenon_L362_ *)
% 0.69/0.91  assert (zenon_L363_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp12)) -> (~(hskp10)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb zenon_H69 zenon_Hc1 zenon_H235.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H12e | zenon_intro zenon_H154 ].
% 0.69/0.91  apply (zenon_L191_); trivial.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H155.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H142. zenon_intro zenon_H156.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14a. zenon_intro zenon_H141.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.91  apply (zenon_L341_); trivial.
% 0.69/0.91  apply (zenon_L362_); trivial.
% 0.69/0.91  (* end of lemma zenon_L363_ *)
% 0.69/0.91  assert (zenon_L364_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))) -> (~(hskp27)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H20d zenon_H1e6 zenon_H1dd zenon_H1de zenon_Hf zenon_H17e zenon_H84.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1ef | zenon_intro zenon_H20e ].
% 0.69/0.91  apply (zenon_L144_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_He8 | zenon_intro zenon_H85 ].
% 0.69/0.91  apply (zenon_L135_); trivial.
% 0.69/0.91  exact (zenon_H84 zenon_H85).
% 0.69/0.91  (* end of lemma zenon_L364_ *)
% 0.69/0.91  assert (zenon_L365_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> (~(hskp27)) -> (ndr1_0) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp17)) -> (~(hskp1)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H2ca zenon_H84 zenon_Hf zenon_H1de zenon_H1dd zenon_H1e6 zenon_H20d zenon_H1 zenon_Ha3.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H17e | zenon_intro zenon_H2cb ].
% 0.69/0.91  apply (zenon_L364_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H2 | zenon_intro zenon_Ha4 ].
% 0.69/0.91  exact (zenon_H1 zenon_H2).
% 0.69/0.91  exact (zenon_Ha3 zenon_Ha4).
% 0.69/0.91  (* end of lemma zenon_L365_ *)
% 0.69/0.91  assert (zenon_L366_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (~(hskp10)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_Ha7 zenon_Ha8 zenon_Ha9 zenon_Hf zenon_H10 zenon_Hc1.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ae ].
% 0.69/0.91  apply (zenon_L318_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hc2 ].
% 0.69/0.91  apply (zenon_L70_); trivial.
% 0.69/0.91  exact (zenon_Hc1 zenon_Hc2).
% 0.69/0.91  (* end of lemma zenon_L366_ *)
% 0.69/0.91  assert (zenon_L367_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (c1_1 (a2095)) -> (~(c2_1 (a2095))) -> (~(c0_1 (a2095))) -> (~(hskp10)) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp9)) -> False).
% 0.69/0.91  do 0 intro. intros zenon_Hd4 zenon_Hcd zenon_H8d zenon_H8c zenon_H8b zenon_Hc1 zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_Hb5.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.69/0.91  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ].
% 0.69/0.91  apply (zenon_L41_); trivial.
% 0.69/0.91  apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ].
% 0.69/0.91  apply (zenon_L366_); trivial.
% 0.69/0.91  exact (zenon_Hb5 zenon_Hb6).
% 0.69/0.91  (* end of lemma zenon_L367_ *)
% 0.69/0.92  assert (zenon_L368_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c1_1 (a2095)) -> (~(c2_1 (a2095))) -> (~(c0_1 (a2095))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_Hcc zenon_Hcd zenon_Hb5 zenon_H295 zenon_H296 zenon_H297 zenon_Hc1 zenon_H2ad zenon_H8d zenon_H8c zenon_H8b zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hf zenon_H1 zenon_Ha3 zenon_H2ca.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.92  apply (zenon_L365_); trivial.
% 0.69/0.92  apply (zenon_L367_); trivial.
% 0.69/0.92  (* end of lemma zenon_L368_ *)
% 0.69/0.92  assert (zenon_L369_ : ((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(hskp8)) -> (~(hskp1)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp10)) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H100 zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H7c zenon_Ha3 zenon_Ha5 zenon_Hc1.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ae ].
% 0.69/0.92  apply (zenon_L318_); trivial.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hc2 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H45 | zenon_intro zenon_Ha6 ].
% 0.69/0.92  apply (zenon_L319_); trivial.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H7d ].
% 0.69/0.92  exact (zenon_Ha3 zenon_Ha4).
% 0.69/0.92  exact (zenon_H7c zenon_H7d).
% 0.69/0.92  exact (zenon_Hc1 zenon_Hc2).
% 0.69/0.92  (* end of lemma zenon_L369_ *)
% 0.69/0.92  assert (zenon_L370_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> (~(hskp8)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_Hd0 zenon_Hff zenon_H7c zenon_Ha5 zenon_H2ca zenon_Ha3 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H20d zenon_Hb5 zenon_Hcd zenon_H235 zenon_Hc1 zenon_H2bb zenon_H214 zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H2ad zenon_Hcc zenon_H153.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.92  apply (zenon_L363_); trivial.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ].
% 0.69/0.92  apply (zenon_L368_); trivial.
% 0.69/0.92  apply (zenon_L369_); trivial.
% 0.69/0.92  (* end of lemma zenon_L370_ *)
% 0.69/0.92  assert (zenon_L371_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H114 zenon_H209 zenon_H23 zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb zenon_H235 zenon_Hcd zenon_Hb5 zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Ha3 zenon_H2ca zenon_Ha5 zenon_H7c zenon_Hff zenon_Hd0.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.92  apply (zenon_L370_); trivial.
% 0.69/0.92  apply (zenon_L156_); trivial.
% 0.69/0.92  (* end of lemma zenon_L371_ *)
% 0.69/0.92  assert (zenon_L372_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(hskp7)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H116 zenon_H114 zenon_H209 zenon_H23 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H234 zenon_H1a5 zenon_H2bd zenon_H2bb zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_H256 zenon_H225 zenon_H3b zenon_H214 zenon_H218 zenon_H1d3 zenon_H12d zenon_Hcb.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.92  apply (zenon_L347_); trivial.
% 0.69/0.92  apply (zenon_L156_); trivial.
% 0.69/0.92  (* end of lemma zenon_L372_ *)
% 0.69/0.92  assert (zenon_L373_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_Hcc zenon_H2ad zenon_Hc1 zenon_H20 zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H18b zenon_H188 zenon_H177 zenon_H176 zenon_H175 zenon_H20d.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.92  apply (zenon_L205_); trivial.
% 0.69/0.92  apply (zenon_L338_); trivial.
% 0.69/0.92  (* end of lemma zenon_L373_ *)
% 0.69/0.92  assert (zenon_L374_ : ((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> (~(hskp14)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H100 zenon_H3b zenon_Hfb zenon_H20d zenon_H175 zenon_H176 zenon_H177 zenon_H188 zenon_H18b zenon_H1e6 zenon_H1de zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_Hc1 zenon_H2ad zenon_Hcc.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.92  apply (zenon_L373_); trivial.
% 0.69/0.92  apply (zenon_L137_); trivial.
% 0.69/0.92  (* end of lemma zenon_L374_ *)
% 0.69/0.92  assert (zenon_L375_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H1a1 zenon_H12d zenon_H2ad zenon_Hc1 zenon_H297 zenon_H296 zenon_H295 zenon_Ha3 zenon_H1eb.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.92  apply (zenon_L141_); trivial.
% 0.69/0.92  apply (zenon_L345_); trivial.
% 0.69/0.92  (* end of lemma zenon_L375_ *)
% 0.69/0.92  assert (zenon_L376_ : ((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_Hd1 zenon_H1a4 zenon_H12d zenon_H1eb zenon_Hcc zenon_Hcd zenon_Hb5 zenon_H295 zenon_H296 zenon_H297 zenon_Hc1 zenon_H2ad zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Ha3 zenon_H2ca zenon_H22 zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_Hfb zenon_H3b zenon_Hff.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ].
% 0.69/0.92  apply (zenon_L368_); trivial.
% 0.69/0.92  apply (zenon_L374_); trivial.
% 0.69/0.92  apply (zenon_L375_); trivial.
% 0.69/0.92  (* end of lemma zenon_L376_ *)
% 0.69/0.92  assert (zenon_L377_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_Hd0 zenon_H1a4 zenon_H12d zenon_H1eb zenon_Hcd zenon_Hb5 zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Ha3 zenon_H2ca zenon_H22 zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_Hfb zenon_H3b zenon_Hff zenon_H235 zenon_Hc1 zenon_H2bb zenon_H214 zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H2ad zenon_Hcc zenon_H153.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.92  apply (zenon_L363_); trivial.
% 0.69/0.92  apply (zenon_L376_); trivial.
% 0.69/0.92  (* end of lemma zenon_L377_ *)
% 0.69/0.92  assert (zenon_L378_ : ((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H1d7 zenon_H115 zenon_H234 zenon_H1a5 zenon_H2bd zenon_Hc4 zenon_H256 zenon_H225 zenon_H218 zenon_H1d3 zenon_Hcb zenon_Hd0 zenon_H1a4 zenon_H12d zenon_H1eb zenon_Hcd zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Ha3 zenon_H2ca zenon_H22 zenon_H18b zenon_Hfb zenon_H3b zenon_Hff zenon_H235 zenon_H2bb zenon_H214 zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H2ad zenon_Hcc zenon_H153 zenon_H23 zenon_H209 zenon_H114.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.92  apply (zenon_L377_); trivial.
% 0.69/0.92  apply (zenon_L156_); trivial.
% 0.69/0.92  apply (zenon_L372_); trivial.
% 0.69/0.92  (* end of lemma zenon_L378_ *)
% 0.69/0.92  assert (zenon_L379_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_Hcc zenon_H2ad zenon_Hc1 zenon_H20 zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hf zenon_H1 zenon_Ha3 zenon_H2ca.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.92  apply (zenon_L365_); trivial.
% 0.69/0.92  apply (zenon_L338_); trivial.
% 0.69/0.92  (* end of lemma zenon_L379_ *)
% 0.69/0.92  assert (zenon_L380_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (~(hskp26)) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H212 zenon_H2a zenon_H29 zenon_H28 zenon_H240 zenon_H23f zenon_Hf zenon_H10 zenon_H11d.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ].
% 0.69/0.92  apply (zenon_L14_); trivial.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ].
% 0.69/0.92  apply (zenon_L199_); trivial.
% 0.69/0.92  exact (zenon_H11d zenon_H11e).
% 0.69/0.92  (* end of lemma zenon_L380_ *)
% 0.69/0.92  assert (zenon_L381_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (c1_1 (a2095)) -> (~(c2_1 (a2095))) -> (~(c0_1 (a2095))) -> (~(hskp26)) -> (ndr1_0) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> (~(c0_1 (a2140))) -> (c2_1 (a2140)) -> (c3_1 (a2140)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp9)) -> False).
% 0.69/0.92  do 0 intro. intros zenon_Hcd zenon_H8d zenon_H8c zenon_H8b zenon_H11d zenon_Hf zenon_H23f zenon_H240 zenon_H28 zenon_H29 zenon_H2a zenon_H212 zenon_Hb5.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ].
% 0.69/0.92  apply (zenon_L41_); trivial.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ].
% 0.69/0.92  apply (zenon_L380_); trivial.
% 0.69/0.92  exact (zenon_Hb5 zenon_Hb6).
% 0.69/0.92  (* end of lemma zenon_L381_ *)
% 0.69/0.92  assert (zenon_L382_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(c0_1 (a2095))) -> (~(c2_1 (a2095))) -> (c1_1 (a2095)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H35 zenon_H12d zenon_H2ad zenon_Hc1 zenon_H297 zenon_H296 zenon_H295 zenon_H8b zenon_H8c zenon_H8d zenon_H212 zenon_H240 zenon_H23f zenon_Hb5 zenon_Hcd.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.92  apply (zenon_L381_); trivial.
% 0.69/0.92  apply (zenon_L345_); trivial.
% 0.69/0.92  (* end of lemma zenon_L382_ *)
% 0.69/0.92  assert (zenon_L383_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_Hd0 zenon_Hcd zenon_Hb5 zenon_H3b zenon_H153 zenon_H12d zenon_H23b zenon_H240 zenon_H23f zenon_H212 zenon_H235 zenon_H2ca zenon_Ha3 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H20d zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_Hc1 zenon_H2ad zenon_Hcc zenon_Ha5 zenon_H7c zenon_Hff.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.92  apply (zenon_L379_); trivial.
% 0.69/0.92  apply (zenon_L350_); trivial.
% 0.69/0.92  apply (zenon_L369_); trivial.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.92  apply (zenon_L379_); trivial.
% 0.69/0.92  apply (zenon_L382_); trivial.
% 0.69/0.92  apply (zenon_L369_); trivial.
% 0.69/0.92  (* end of lemma zenon_L383_ *)
% 0.69/0.92  assert (zenon_L384_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> (~(hskp8)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (ndr1_0) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H114 zenon_H209 zenon_H23 zenon_Hff zenon_H7c zenon_Ha5 zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hf zenon_Ha3 zenon_H2ca zenon_H235 zenon_H212 zenon_H23f zenon_H240 zenon_H23b zenon_H12d zenon_H153 zenon_H3b zenon_Hb5 zenon_Hcd zenon_Hd0.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.92  apply (zenon_L383_); trivial.
% 0.69/0.92  apply (zenon_L156_); trivial.
% 0.69/0.92  (* end of lemma zenon_L384_ *)
% 0.69/0.92  assert (zenon_L385_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2079))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H116 zenon_H114 zenon_H209 zenon_H23 zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hd0 zenon_H1a5 zenon_H22f zenon_H152 zenon_H3 zenon_H2c2 zenon_H225 zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_H256 zenon_H235 zenon_H212 zenon_H23f zenon_H240 zenon_H23b zenon_H12d zenon_H153 zenon_H3b zenon_H1d3 zenon_Hcb.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.92  apply (zenon_L357_); trivial.
% 0.69/0.92  apply (zenon_L156_); trivial.
% 0.69/0.92  (* end of lemma zenon_L385_ *)
% 0.69/0.92  assert (zenon_L386_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp12)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H1a4 zenon_Ha3 zenon_H1eb zenon_Hcc zenon_H2ad zenon_Hc1 zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_H20d zenon_H235 zenon_H69 zenon_H212 zenon_H23f zenon_H240 zenon_H23b zenon_H12d zenon_H153 zenon_H3b.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.92  apply (zenon_L373_); trivial.
% 0.69/0.92  apply (zenon_L350_); trivial.
% 0.69/0.92  apply (zenon_L375_); trivial.
% 0.69/0.92  (* end of lemma zenon_L386_ *)
% 0.69/0.92  assert (zenon_L387_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (ndr1_0) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_Hd0 zenon_Hcd zenon_Hb5 zenon_H3b zenon_H153 zenon_H12d zenon_H23b zenon_H240 zenon_H23f zenon_H212 zenon_H235 zenon_H20d zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hf zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_Hc1 zenon_H2ad zenon_Hcc zenon_H1eb zenon_Ha3 zenon_H1a4.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.92  apply (zenon_L386_); trivial.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.92  apply (zenon_L373_); trivial.
% 0.69/0.92  apply (zenon_L382_); trivial.
% 0.69/0.92  apply (zenon_L375_); trivial.
% 0.69/0.92  (* end of lemma zenon_L387_ *)
% 0.69/0.92  assert (zenon_L388_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H114 zenon_H209 zenon_H23 zenon_H1a4 zenon_Ha3 zenon_H1eb zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_H20d zenon_H235 zenon_H212 zenon_H23f zenon_H240 zenon_H23b zenon_H12d zenon_H153 zenon_H3b zenon_Hb5 zenon_Hcd zenon_Hd0.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.92  apply (zenon_L387_); trivial.
% 0.69/0.92  apply (zenon_L156_); trivial.
% 0.69/0.92  (* end of lemma zenon_L388_ *)
% 0.69/0.92  assert (zenon_L389_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp17)\/(hskp2)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(hskp7)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H116 zenon_H114 zenon_Hd0 zenon_He5 zenon_H5 zenon_H3 zenon_Hfb zenon_H6d zenon_H20d zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H7c zenon_H7e zenon_H80 zenon_H3e zenon_Hff zenon_H234 zenon_H1a5 zenon_H2bd zenon_H2bb zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_H256 zenon_H225 zenon_H3b zenon_H214 zenon_H218 zenon_H1d3 zenon_H12d zenon_Hcb.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.92  apply (zenon_L347_); trivial.
% 0.69/0.92  apply (zenon_L233_); trivial.
% 0.69/0.92  (* end of lemma zenon_L389_ *)
% 0.69/0.92  assert (zenon_L390_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> (~(hskp8)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H115 zenon_H234 zenon_H1a5 zenon_H2bd zenon_Hc4 zenon_H256 zenon_H225 zenon_H218 zenon_H1d3 zenon_H12d zenon_Hcb zenon_Hd0 zenon_Hff zenon_H7c zenon_Ha5 zenon_H2ca zenon_Ha3 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H20d zenon_Hcd zenon_H235 zenon_H2bb zenon_H214 zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H2ad zenon_Hcc zenon_H153 zenon_H3e zenon_H80 zenon_H7e zenon_H22 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H6d zenon_Hfb zenon_H3b zenon_H3 zenon_H5 zenon_He5 zenon_H114.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.92  apply (zenon_L370_); trivial.
% 0.69/0.92  apply (zenon_L233_); trivial.
% 0.69/0.92  apply (zenon_L389_); trivial.
% 0.69/0.92  (* end of lemma zenon_L390_ *)
% 0.69/0.92  assert (zenon_L391_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> (ndr1_0) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp29)) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H26f zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hdc zenon_Hdd zenon_Hde zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_Ha7 zenon_Ha8 zenon_Ha9 zenon_Hf zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H3f.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_He8 | zenon_intro zenon_H270 ].
% 0.69/0.92  apply (zenon_L226_); trivial.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H10 | zenon_intro zenon_H40 ].
% 0.69/0.92  apply (zenon_L259_); trivial.
% 0.69/0.92  exact (zenon_H3f zenon_H40).
% 0.69/0.92  (* end of lemma zenon_L391_ *)
% 0.69/0.92  assert (zenon_L392_ : ((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H100 zenon_H3b zenon_H20d zenon_Hdc zenon_Hdd zenon_Hde zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H26f zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H22 zenon_Hfb zenon_H64 zenon_Hcc.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.92  apply (zenon_L227_); trivial.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H66 ].
% 0.69/0.92  apply (zenon_L391_); trivial.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_Hf. zenon_intro zenon_H67.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H51. zenon_intro zenon_H68.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H5d. zenon_intro zenon_H52.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ].
% 0.69/0.92  apply (zenon_L226_); trivial.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ].
% 0.69/0.92  apply (zenon_L262_); trivial.
% 0.69/0.92  apply (zenon_L57_); trivial.
% 0.69/0.92  apply (zenon_L230_); trivial.
% 0.69/0.92  (* end of lemma zenon_L392_ *)
% 0.69/0.92  assert (zenon_L393_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H103 zenon_Hcb zenon_Hff zenon_H3b zenon_H20d zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H26f zenon_H62 zenon_H22 zenon_Hfb zenon_H64 zenon_Hcc zenon_H3 zenon_H5 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.92  apply (zenon_L107_); trivial.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ].
% 0.69/0.92  apply (zenon_L3_); trivial.
% 0.69/0.92  apply (zenon_L392_); trivial.
% 0.69/0.92  (* end of lemma zenon_L393_ *)
% 0.69/0.92  assert (zenon_L394_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H114 zenon_Hcb zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H26f zenon_H62 zenon_H64 zenon_H3 zenon_H5 zenon_Hfc zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb zenon_H235 zenon_Hff zenon_H3b zenon_Hfb zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_H22 zenon_H2ca zenon_Ha3 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H20d zenon_Hb5 zenon_Hcd zenon_H1eb zenon_H12d zenon_H1a4 zenon_Hd0.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.92  apply (zenon_L377_); trivial.
% 0.69/0.92  apply (zenon_L393_); trivial.
% 0.69/0.92  (* end of lemma zenon_L394_ *)
% 0.69/0.92  assert (zenon_L395_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H12a zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H20d.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.92  apply (zenon_L227_); trivial.
% 0.69/0.92  apply (zenon_L166_); trivial.
% 0.69/0.92  (* end of lemma zenon_L395_ *)
% 0.69/0.92  assert (zenon_L396_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_Hc8 zenon_H12d zenon_Hcc zenon_H62 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H20d zenon_H106 zenon_H107 zenon_H108 zenon_H1d3.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.92  apply (zenon_L126_); trivial.
% 0.69/0.92  apply (zenon_L395_); trivial.
% 0.69/0.92  (* end of lemma zenon_L396_ *)
% 0.69/0.92  assert (zenon_L397_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H103 zenon_Hcb zenon_H12d zenon_Hcc zenon_H62 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H20d zenon_H106 zenon_H107 zenon_H108 zenon_H1d3 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.92  apply (zenon_L107_); trivial.
% 0.69/0.92  apply (zenon_L396_); trivial.
% 0.69/0.92  (* end of lemma zenon_L397_ *)
% 0.69/0.92  assert (zenon_L398_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(hskp7)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H116 zenon_H114 zenon_H62 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H20d zenon_H175 zenon_H176 zenon_H177 zenon_Hfc zenon_H234 zenon_H1a5 zenon_H2bd zenon_H2bb zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_H256 zenon_H225 zenon_H3b zenon_H214 zenon_H218 zenon_H1d3 zenon_H12d zenon_Hcb.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.92  apply (zenon_L347_); trivial.
% 0.69/0.92  apply (zenon_L397_); trivial.
% 0.69/0.92  (* end of lemma zenon_L398_ *)
% 0.69/0.92  assert (zenon_L399_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp17)\/(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2079))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H116 zenon_H114 zenon_He5 zenon_H5 zenon_Hfb zenon_H6d zenon_H20d zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H7c zenon_H7e zenon_H80 zenon_H3e zenon_Hff zenon_Hd0 zenon_H1a5 zenon_H22f zenon_H152 zenon_H3 zenon_H2c2 zenon_H225 zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_H256 zenon_H235 zenon_H212 zenon_H23f zenon_H240 zenon_H23b zenon_H12d zenon_H153 zenon_H3b zenon_H1d3 zenon_Hcb.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.92  apply (zenon_L357_); trivial.
% 0.69/0.92  apply (zenon_L233_); trivial.
% 0.69/0.92  (* end of lemma zenon_L399_ *)
% 0.69/0.92  assert (zenon_L400_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2079))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H116 zenon_H114 zenon_H62 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H20d zenon_H175 zenon_H176 zenon_H177 zenon_Hfc zenon_Hd0 zenon_H1a5 zenon_H22f zenon_H152 zenon_H3 zenon_H2c2 zenon_H225 zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_H256 zenon_H235 zenon_H212 zenon_H23f zenon_H240 zenon_H23b zenon_H12d zenon_H153 zenon_H3b zenon_H1d3 zenon_Hcb.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.92  apply (zenon_L357_); trivial.
% 0.69/0.92  apply (zenon_L397_); trivial.
% 0.69/0.92  (* end of lemma zenon_L400_ *)
% 0.69/0.92  assert (zenon_L401_ : ((ndr1_0)/\((c0_1 (a2079))/\((c1_1 (a2079))/\(~(c3_1 (a2079)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp17)\/(hskp2)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H2cc zenon_H2cd zenon_H18b zenon_H1eb zenon_H1a4 zenon_Hfc zenon_H64 zenon_H62 zenon_H26f zenon_H114 zenon_He5 zenon_H5 zenon_H3 zenon_Hfb zenon_H6d zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H7e zenon_H80 zenon_H3e zenon_Hff zenon_Ha5 zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Ha3 zenon_H2ca zenon_H235 zenon_H212 zenon_H23b zenon_H12d zenon_H153 zenon_H3b zenon_Hcd zenon_Hd0 zenon_Hcb zenon_H1d3 zenon_H256 zenon_Hc4 zenon_H225 zenon_H152 zenon_H22f zenon_H1a5 zenon_H115.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.92  apply (zenon_L383_); trivial.
% 0.69/0.92  apply (zenon_L233_); trivial.
% 0.69/0.92  apply (zenon_L399_); trivial.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.92  apply (zenon_L387_); trivial.
% 0.69/0.92  apply (zenon_L393_); trivial.
% 0.69/0.92  apply (zenon_L400_); trivial.
% 0.69/0.92  (* end of lemma zenon_L401_ *)
% 0.69/0.92  assert (zenon_L402_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (~(hskp4)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp12)) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(hskp3)) -> (~(c0_1 (a2068))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H3a zenon_H2b9 zenon_H23 zenon_H1cf zenon_H69 zenon_H25a zenon_H258 zenon_H259 zenon_H23b zenon_H297 zenon_H296 zenon_H41 zenon_H295 zenon_H191.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ba ].
% 0.69/0.92  apply (zenon_L318_); trivial.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H6f | zenon_intro zenon_H22b ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H160 | zenon_intro zenon_H194 ].
% 0.69/0.92  apply (zenon_L318_); trivial.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H94 | zenon_intro zenon_H24 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d0 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H10 | zenon_intro zenon_H23c ].
% 0.69/0.92  apply (zenon_L305_); trivial.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H237 | zenon_intro zenon_H6a ].
% 0.69/0.92  apply (zenon_L254_); trivial.
% 0.69/0.92  exact (zenon_H69 zenon_H6a).
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H42 ].
% 0.69/0.92  apply (zenon_L320_); trivial.
% 0.69/0.92  exact (zenon_H41 zenon_H42).
% 0.69/0.92  exact (zenon_H23 zenon_H24).
% 0.69/0.92  apply (zenon_L186_); trivial.
% 0.69/0.92  (* end of lemma zenon_L402_ *)
% 0.69/0.92  assert (zenon_L403_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H103 zenon_Hd0 zenon_He5 zenon_H80 zenon_H64 zenon_H7e zenon_H7c zenon_H8 zenon_H41 zenon_H43 zenon_H6d zenon_H295 zenon_H296 zenon_H297 zenon_H191 zenon_H23 zenon_H23b zenon_H259 zenon_H258 zenon_H25a zenon_H1cf zenon_H2b9 zenon_H3e.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.92  apply (zenon_L36_); trivial.
% 0.69/0.92  apply (zenon_L402_); trivial.
% 0.69/0.92  apply (zenon_L59_); trivial.
% 0.69/0.92  (* end of lemma zenon_L403_ *)
% 0.69/0.92  assert (zenon_L404_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (c3_1 (a2076)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (~(hskp3)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H103 zenon_Hd0 zenon_H80 zenon_He5 zenon_H1a7 zenon_H1a6 zenon_H1a8 zenon_H7c zenon_H7e zenon_H6d zenon_H295 zenon_H296 zenon_H297 zenon_H191 zenon_H23 zenon_H23b zenon_H259 zenon_H258 zenon_H25a zenon_H41 zenon_H1cf zenon_H2b9 zenon_H3e.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.92  apply (zenon_L330_); trivial.
% 0.69/0.92  apply (zenon_L402_); trivial.
% 0.69/0.92  apply (zenon_L59_); trivial.
% 0.69/0.92  (* end of lemma zenon_L404_ *)
% 0.69/0.92  assert (zenon_L405_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a2076))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H27 zenon_Hf zenon_H1a6 zenon_H8a zenon_H1a7 zenon_H1a8.
% 0.69/0.92  generalize (zenon_H27 (a2076)). zenon_intro zenon_H2d0.
% 0.69/0.92  apply (zenon_imply_s _ _ zenon_H2d0); [ zenon_intro zenon_He | zenon_intro zenon_H2d1 ].
% 0.69/0.92  exact (zenon_He zenon_Hf).
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H1ac | zenon_intro zenon_H2b6 ].
% 0.69/0.92  exact (zenon_H1a6 zenon_H1ac).
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H2af | zenon_intro zenon_H1ad ].
% 0.69/0.92  apply (zenon_L326_); trivial.
% 0.69/0.92  exact (zenon_H1ad zenon_H1a8).
% 0.69/0.92  (* end of lemma zenon_L405_ *)
% 0.69/0.92  assert (zenon_L406_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp27)\/(hskp29))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (~(c0_1 (a2076))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp29)) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H2d2 zenon_H1a8 zenon_H1a7 zenon_H8a zenon_H1a6 zenon_Hf zenon_H84 zenon_H3f.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H27 | zenon_intro zenon_H2d3 ].
% 0.69/0.92  apply (zenon_L405_); trivial.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H85 | zenon_intro zenon_H40 ].
% 0.69/0.92  exact (zenon_H84 zenon_H85).
% 0.69/0.92  exact (zenon_H3f zenon_H40).
% 0.69/0.92  (* end of lemma zenon_L406_ *)
% 0.69/0.92  assert (zenon_L407_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (~(hskp29)) -> (~(hskp27)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp27)\/(hskp29))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 0.69/0.92  do 0 intro. intros zenon_He5 zenon_H3f zenon_H84 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H2d2 zenon_Hde zenon_Hdd zenon_Hdc zenon_Hf zenon_H7c.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H8a | zenon_intro zenon_He6 ].
% 0.69/0.92  apply (zenon_L406_); trivial.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H7d ].
% 0.69/0.92  apply (zenon_L54_); trivial.
% 0.69/0.92  exact (zenon_H7c zenon_H7d).
% 0.69/0.92  (* end of lemma zenon_L407_ *)
% 0.69/0.92  assert (zenon_L408_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (c1_1 (a2172)) -> (~(c3_1 (a2172))) -> (~(c0_1 (a2172))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp27)\/(hskp29))) -> (~(hskp27)) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (ndr1_0) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H64 zenon_H7e zenon_H72 zenon_H71 zenon_H70 zenon_H2d2 zenon_H84 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_Hf zenon_Hdc zenon_Hdd zenon_Hde zenon_H7c zenon_He5.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H66 ].
% 0.69/0.92  apply (zenon_L407_); trivial.
% 0.69/0.92  apply (zenon_L35_); trivial.
% 0.69/0.92  (* end of lemma zenon_L408_ *)
% 0.69/0.92  assert (zenon_L409_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp27)\/(hskp29))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H3e zenon_H1c5 zenon_H6d zenon_H69 zenon_H64 zenon_H7e zenon_H2d2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_Hdc zenon_Hdd zenon_Hde zenon_H7c zenon_He5 zenon_H1cf zenon_H41 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H25a zenon_H258 zenon_H259 zenon_H23b zenon_Hcc zenon_H80.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6b | zenon_intro zenon_H81 ].
% 0.69/0.92  apply (zenon_L31_); trivial.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H82.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H72. zenon_intro zenon_H83.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H70. zenon_intro zenon_H71.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.69/0.92  apply (zenon_L408_); trivial.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6f | zenon_intro zenon_H7f ].
% 0.69/0.92  apply (zenon_L32_); trivial.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H79 | zenon_intro zenon_H7d ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d0 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H10 | zenon_intro zenon_H23c ].
% 0.69/0.92  apply (zenon_L46_); trivial.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H237 | zenon_intro zenon_H6a ].
% 0.69/0.92  apply (zenon_L254_); trivial.
% 0.69/0.92  exact (zenon_H69 zenon_H6a).
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H42 ].
% 0.69/0.92  apply (zenon_L114_); trivial.
% 0.69/0.92  exact (zenon_H41 zenon_H42).
% 0.69/0.92  exact (zenon_H7c zenon_H7d).
% 0.69/0.92  apply (zenon_L255_); trivial.
% 0.69/0.92  (* end of lemma zenon_L409_ *)
% 0.69/0.92  assert (zenon_L410_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> (~(hskp3)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp27)\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H103 zenon_Hd0 zenon_H80 zenon_Hcc zenon_H23b zenon_H259 zenon_H258 zenon_H25a zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H41 zenon_H1cf zenon_He5 zenon_H7c zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H2d2 zenon_H7e zenon_H64 zenon_H6d zenon_H1c5 zenon_H3e.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.69/0.92  apply (zenon_L409_); trivial.
% 0.69/0.92  apply (zenon_L59_); trivial.
% 0.69/0.92  (* end of lemma zenon_L410_ *)
% 0.69/0.92  assert (zenon_L411_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp26)) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H159 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H11d.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d4 ].
% 0.69/0.92  apply (zenon_L242_); trivial.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H165 | zenon_intro zenon_H11e ].
% 0.69/0.92  apply (zenon_L125_); trivial.
% 0.69/0.92  exact (zenon_H11d zenon_H11e).
% 0.69/0.92  (* end of lemma zenon_L411_ *)
% 0.69/0.92  assert (zenon_L412_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c3_1 (a2071))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(hskp26)) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H212 zenon_H2a zenon_H29 zenon_H28 zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_H258 zenon_H259 zenon_H25a zenon_H1d3 zenon_H11d.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ].
% 0.69/0.92  apply (zenon_L14_); trivial.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ].
% 0.69/0.92  apply (zenon_L411_); trivial.
% 0.69/0.92  exact (zenon_H11d zenon_H11e).
% 0.69/0.92  (* end of lemma zenon_L412_ *)
% 0.69/0.92  assert (zenon_L413_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H35 zenon_H12d zenon_H2ad zenon_Hc1 zenon_H297 zenon_H296 zenon_H295 zenon_H1d3 zenon_H108 zenon_H107 zenon_H106 zenon_H25a zenon_H259 zenon_H258 zenon_H212.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.69/0.92  apply (zenon_L412_); trivial.
% 0.69/0.92  apply (zenon_L345_); trivial.
% 0.69/0.92  (* end of lemma zenon_L413_ *)
% 0.69/0.92  assert (zenon_L414_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c3_1 (a2071))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_Hcb zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_Hc1 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H256 zenon_H212 zenon_H258 zenon_H259 zenon_H25a zenon_H1d3 zenon_H12d zenon_H3b.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.69/0.92  apply (zenon_L339_); trivial.
% 0.69/0.92  apply (zenon_L413_); trivial.
% 0.69/0.92  apply (zenon_L346_); trivial.
% 0.69/0.92  (* end of lemma zenon_L414_ *)
% 0.69/0.92  assert (zenon_L415_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H116 zenon_H114 zenon_H209 zenon_H23 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H3b zenon_H12d zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H212 zenon_H256 zenon_Hc4 zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc zenon_Hcb.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.69/0.92  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.69/0.92  apply (zenon_L414_); trivial.
% 0.69/0.92  apply (zenon_L156_); trivial.
% 0.69/0.92  (* end of lemma zenon_L415_ *)
% 0.69/0.92  assert (zenon_L416_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c3_1 (a2071))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> False).
% 0.69/0.92  do 0 intro. intros zenon_H2cd zenon_H234 zenon_H1a5 zenon_H2bd zenon_H225 zenon_H218 zenon_H1a4 zenon_H1eb zenon_H18b zenon_Hfb zenon_H114 zenon_H209 zenon_H23 zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb zenon_H235 zenon_Hcd zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Ha3 zenon_H2ca zenon_Ha5 zenon_Hff zenon_Hd0 zenon_Hcb zenon_H22 zenon_Hc4 zenon_H256 zenon_H212 zenon_H258 zenon_H259 zenon_H25a zenon_H1d3 zenon_H12d zenon_H3b zenon_H115.
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.69/0.92  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.69/0.92  apply (zenon_L371_); trivial.
% 0.69/0.92  apply (zenon_L415_); trivial.
% 0.69/0.92  apply (zenon_L378_); trivial.
% 0.69/0.92  (* end of lemma zenon_L416_ *)
% 0.69/0.92  assert (zenon_L417_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H115 zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H256 zenon_Hc4 zenon_Hcb zenon_Hd0 zenon_Hcd zenon_H3b zenon_H153 zenon_H12d zenon_H23b zenon_H240 zenon_H23f zenon_H212 zenon_H235 zenon_H2ca zenon_Ha3 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H20d zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc zenon_Ha5 zenon_H7c zenon_Hff zenon_H23 zenon_H209 zenon_H114.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.93  apply (zenon_L384_); trivial.
% 0.77/0.93  apply (zenon_L415_); trivial.
% 0.77/0.93  (* end of lemma zenon_L417_ *)
% 0.77/0.93  assert (zenon_L418_ : ((ndr1_0)/\((c0_1 (a2079))/\((c1_1 (a2079))/\(~(c3_1 (a2079)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c3_1 (a2071))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H2cc zenon_H2cd zenon_H18b zenon_H1eb zenon_H1a4 zenon_H114 zenon_H209 zenon_H23 zenon_Hff zenon_Ha5 zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Ha3 zenon_H2ca zenon_H235 zenon_H212 zenon_H23b zenon_H12d zenon_H153 zenon_H3b zenon_Hcd zenon_Hd0 zenon_Hcb zenon_Hc4 zenon_H256 zenon_H258 zenon_H259 zenon_H25a zenon_H1d3 zenon_H115.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.93  apply (zenon_L417_); trivial.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.93  apply (zenon_L388_); trivial.
% 0.77/0.93  apply (zenon_L415_); trivial.
% 0.77/0.93  (* end of lemma zenon_L418_ *)
% 0.77/0.93  assert (zenon_L419_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H114 zenon_He5 zenon_H3b zenon_Hfb zenon_H259 zenon_H258 zenon_H25a zenon_H6d zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H22 zenon_H7e zenon_H80 zenon_H3e zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb zenon_H235 zenon_Hcd zenon_Hb5 zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Ha3 zenon_H2ca zenon_Ha5 zenon_H7c zenon_Hff zenon_Hd0.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.93  apply (zenon_L370_); trivial.
% 0.77/0.93  apply (zenon_L283_); trivial.
% 0.77/0.93  (* end of lemma zenon_L419_ *)
% 0.77/0.93  assert (zenon_L420_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H116 zenon_H114 zenon_Hd0 zenon_He5 zenon_Hfb zenon_H23b zenon_H6d zenon_H20d zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H7c zenon_H7e zenon_H80 zenon_H3e zenon_H3b zenon_H12d zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H212 zenon_H256 zenon_Hc4 zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc zenon_Hcb.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.93  apply (zenon_L414_); trivial.
% 0.77/0.93  apply (zenon_L283_); trivial.
% 0.77/0.93  (* end of lemma zenon_L420_ *)
% 0.77/0.93  assert (zenon_L421_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(hskp26)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hd4 zenon_H64 zenon_Hfb zenon_H258 zenon_H259 zenon_H11d zenon_H212 zenon_H22 zenon_H20 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H1e6 zenon_H1de zenon_H1dd zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H26f.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H66 ].
% 0.77/0.93  apply (zenon_L391_); trivial.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_Hf. zenon_intro zenon_H67.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H51. zenon_intro zenon_H68.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H5d. zenon_intro zenon_H52.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ].
% 0.77/0.93  apply (zenon_L226_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ].
% 0.77/0.93  apply (zenon_L262_); trivial.
% 0.77/0.93  apply (zenon_L265_); trivial.
% 0.77/0.93  (* end of lemma zenon_L421_ *)
% 0.77/0.93  assert (zenon_L422_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hc3 zenon_H12d zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H20d zenon_H8 zenon_H11f.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.77/0.93  apply (zenon_L75_); trivial.
% 0.77/0.93  apply (zenon_L395_); trivial.
% 0.77/0.93  (* end of lemma zenon_L422_ *)
% 0.77/0.93  assert (zenon_L423_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H35 zenon_H12d zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H20d zenon_H1f5 zenon_H8 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H212 zenon_H208.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.77/0.93  apply (zenon_L171_); trivial.
% 0.77/0.93  apply (zenon_L395_); trivial.
% 0.77/0.93  (* end of lemma zenon_L423_ *)
% 0.77/0.93  assert (zenon_L424_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H103 zenon_Hcb zenon_H3b zenon_H1f5 zenon_H208 zenon_H12d zenon_H20d zenon_H88 zenon_H8 zenon_H26f zenon_H62 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H22 zenon_H212 zenon_H259 zenon_H258 zenon_Hfb zenon_H64 zenon_Hcc zenon_H11f zenon_Hcf zenon_H175 zenon_H176 zenon_H177 zenon_Hfc.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.93  apply (zenon_L107_); trivial.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.77/0.93  apply (zenon_L40_); trivial.
% 0.77/0.93  apply (zenon_L421_); trivial.
% 0.77/0.93  apply (zenon_L395_); trivial.
% 0.77/0.93  apply (zenon_L422_); trivial.
% 0.77/0.93  apply (zenon_L423_); trivial.
% 0.77/0.93  (* end of lemma zenon_L424_ *)
% 0.77/0.93  assert (zenon_L425_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H115 zenon_H1d3 zenon_H256 zenon_Hc4 zenon_Hcb zenon_Hd0 zenon_Hcd zenon_H3b zenon_H153 zenon_H12d zenon_H23b zenon_H240 zenon_H23f zenon_H212 zenon_H235 zenon_H2ca zenon_Ha3 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H20d zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc zenon_Ha5 zenon_H7c zenon_Hff zenon_H3e zenon_H80 zenon_H7e zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H6d zenon_H25a zenon_H258 zenon_H259 zenon_Hfb zenon_He5 zenon_H114.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.93  apply (zenon_L383_); trivial.
% 0.77/0.93  apply (zenon_L283_); trivial.
% 0.77/0.93  apply (zenon_L420_); trivial.
% 0.77/0.93  (* end of lemma zenon_L425_ *)
% 0.77/0.93  assert (zenon_L426_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H116 zenon_H114 zenon_H62 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H20d zenon_H175 zenon_H176 zenon_H177 zenon_Hfc zenon_H3b zenon_H12d zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H212 zenon_H256 zenon_Hc4 zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc zenon_Hcb.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.93  apply (zenon_L414_); trivial.
% 0.77/0.93  apply (zenon_L397_); trivial.
% 0.77/0.93  (* end of lemma zenon_L426_ *)
% 0.77/0.93  assert (zenon_L427_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (~(c0_1 (a2076))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (c1_1 (a2172)) -> (~(c3_1 (a2172))) -> (~(c0_1 (a2172))) -> (~(hskp12)) -> (ndr1_0) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(hskp8)) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hfb zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hdc zenon_Hdd zenon_Hde zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1a8 zenon_H1a7 zenon_H8a zenon_H1a6 zenon_H7e zenon_H72 zenon_H71 zenon_H70 zenon_H69 zenon_Hf zenon_H25a zenon_H258 zenon_H259 zenon_Ha7 zenon_Ha8 zenon_Ha9 zenon_H23b zenon_H7c.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ].
% 0.77/0.93  apply (zenon_L226_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ].
% 0.77/0.93  apply (zenon_L405_); trivial.
% 0.77/0.93  apply (zenon_L277_); trivial.
% 0.77/0.93  (* end of lemma zenon_L427_ *)
% 0.77/0.93  assert (zenon_L428_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp12)) -> (~(hskp18)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H80 zenon_Hcc zenon_He5 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H7e zenon_H7c zenon_H25a zenon_H258 zenon_H259 zenon_H23b zenon_Hfb zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H20d zenon_H69 zenon_Ha zenon_H6d.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6b | zenon_intro zenon_H81 ].
% 0.77/0.93  apply (zenon_L31_); trivial.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H82.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H72. zenon_intro zenon_H83.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H70. zenon_intro zenon_H71.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.77/0.93  apply (zenon_L227_); trivial.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H8a | zenon_intro zenon_He6 ].
% 0.77/0.93  apply (zenon_L427_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H7d ].
% 0.77/0.93  apply (zenon_L54_); trivial.
% 0.77/0.93  exact (zenon_H7c zenon_H7d).
% 0.77/0.93  (* end of lemma zenon_L428_ *)
% 0.77/0.93  assert (zenon_L429_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H103 zenon_Hd0 zenon_H80 zenon_Hcc zenon_He5 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H7e zenon_H7c zenon_H25a zenon_H258 zenon_H259 zenon_H23b zenon_Hfb zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H20d zenon_H6d zenon_H22 zenon_H3b zenon_H3e.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.77/0.93  apply (zenon_L428_); trivial.
% 0.77/0.93  apply (zenon_L282_); trivial.
% 0.77/0.93  apply (zenon_L59_); trivial.
% 0.77/0.93  (* end of lemma zenon_L429_ *)
% 0.77/0.93  assert (zenon_L430_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H116 zenon_H114 zenon_Hd0 zenon_H80 zenon_He5 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H7e zenon_H7c zenon_H23b zenon_Hfb zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H20d zenon_H6d zenon_H3e zenon_H3b zenon_H12d zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H212 zenon_H256 zenon_Hc4 zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc zenon_Hcb.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.93  apply (zenon_L414_); trivial.
% 0.77/0.93  apply (zenon_L429_); trivial.
% 0.77/0.93  (* end of lemma zenon_L430_ *)
% 0.77/0.93  assert (zenon_L431_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (~(c0_1 (a2076))) -> (c2_1 (a2071)) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (c0_1 (a2071)) -> (ndr1_0) -> (~(hskp26)) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H212 zenon_H1a8 zenon_H1a7 zenon_H8a zenon_H1a6 zenon_H259 zenon_Hf1 zenon_H258 zenon_Hf zenon_H11d.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ].
% 0.77/0.93  apply (zenon_L405_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ].
% 0.77/0.93  apply (zenon_L264_); trivial.
% 0.77/0.93  exact (zenon_H11d zenon_H11e).
% 0.77/0.93  (* end of lemma zenon_L431_ *)
% 0.77/0.93  assert (zenon_L432_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp26)) -> (c0_1 (a2071)) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (c2_1 (a2071)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp10)) -> (ndr1_0) -> (c0_1 (a2073)) -> (c3_1 (a2073)) -> (c1_1 (a2073)) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp9)) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hcd zenon_H11d zenon_H258 zenon_Hf1 zenon_H259 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H212 zenon_Hc1 zenon_Hf zenon_Ha9 zenon_Ha8 zenon_Ha7 zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_Hb5.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ].
% 0.77/0.93  apply (zenon_L431_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ].
% 0.77/0.93  apply (zenon_L366_); trivial.
% 0.77/0.93  exact (zenon_Hb5 zenon_Hb6).
% 0.77/0.93  (* end of lemma zenon_L432_ *)
% 0.77/0.93  assert (zenon_L433_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H12d zenon_H20d zenon_Hdc zenon_Hdd zenon_Hde zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hf zenon_H26f zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H20 zenon_H22 zenon_H212 zenon_H259 zenon_H258 zenon_Hfb zenon_H64 zenon_Hcc.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.77/0.93  apply (zenon_L227_); trivial.
% 0.77/0.93  apply (zenon_L421_); trivial.
% 0.77/0.93  apply (zenon_L395_); trivial.
% 0.77/0.93  (* end of lemma zenon_L433_ *)
% 0.77/0.93  assert (zenon_L434_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp26)) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hcc zenon_Hfb zenon_H212 zenon_H11d zenon_H259 zenon_H258 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_Hb5 zenon_Hcd zenon_H2a zenon_H29 zenon_H28 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H18b zenon_H188 zenon_H177 zenon_H176 zenon_H175 zenon_H20d.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.77/0.93  apply (zenon_L205_); trivial.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ].
% 0.77/0.93  apply (zenon_L136_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ].
% 0.77/0.93  apply (zenon_L14_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ].
% 0.77/0.93  apply (zenon_L431_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ].
% 0.77/0.93  apply (zenon_L259_); trivial.
% 0.77/0.93  exact (zenon_Hb5 zenon_Hb6).
% 0.77/0.93  (* end of lemma zenon_L434_ *)
% 0.77/0.93  assert (zenon_L435_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H1a1 zenon_H12d zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H20d zenon_Ha3 zenon_H1eb.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.77/0.93  apply (zenon_L141_); trivial.
% 0.77/0.93  apply (zenon_L395_); trivial.
% 0.77/0.93  (* end of lemma zenon_L435_ *)
% 0.77/0.93  assert (zenon_L436_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (~(c0_1 (a2076))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (ndr1_0) -> (~(hskp26)) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hfb zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hdc zenon_Hdd zenon_Hde zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H212 zenon_H1a8 zenon_H1a7 zenon_H8a zenon_H1a6 zenon_H259 zenon_H258 zenon_Hf zenon_H11d.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ].
% 0.77/0.93  apply (zenon_L226_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ].
% 0.77/0.93  apply (zenon_L405_); trivial.
% 0.77/0.93  apply (zenon_L431_); trivial.
% 0.77/0.93  (* end of lemma zenon_L436_ *)
% 0.77/0.93  assert (zenon_L437_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(hskp26)) -> (ndr1_0) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> (~(c0_1 (a2140))) -> (c2_1 (a2140)) -> (c3_1 (a2140)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp9)) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hcd zenon_H258 zenon_H259 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hde zenon_Hdd zenon_Hdc zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_Hfb zenon_H11d zenon_Hf zenon_H23f zenon_H240 zenon_H28 zenon_H29 zenon_H2a zenon_H212 zenon_Hb5.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ].
% 0.77/0.93  apply (zenon_L436_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ].
% 0.77/0.93  apply (zenon_L380_); trivial.
% 0.77/0.93  exact (zenon_Hb5 zenon_Hb6).
% 0.77/0.93  (* end of lemma zenon_L437_ *)
% 0.77/0.93  assert (zenon_L438_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hc3 zenon_H12d zenon_H2ad zenon_Hc1 zenon_H297 zenon_H296 zenon_H295 zenon_H8 zenon_H11f.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.77/0.93  apply (zenon_L75_); trivial.
% 0.77/0.93  apply (zenon_L345_); trivial.
% 0.77/0.93  (* end of lemma zenon_L438_ *)
% 0.77/0.93  assert (zenon_L439_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hcf zenon_H12d zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H11f zenon_H235 zenon_Hc1 zenon_H69 zenon_H88 zenon_H8 zenon_H46 zenon_H47 zenon_H48 zenon_H23b zenon_H62 zenon_Hcc zenon_H153.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.77/0.93  apply (zenon_L196_); trivial.
% 0.77/0.93  apply (zenon_L438_); trivial.
% 0.77/0.93  (* end of lemma zenon_L439_ *)
% 0.77/0.93  assert (zenon_L440_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hcb zenon_H62 zenon_H11f zenon_H12d zenon_Hcf zenon_Hc4 zenon_H235 zenon_Hc1 zenon_H88 zenon_H8 zenon_H295 zenon_H296 zenon_H297 zenon_H23b zenon_H2ad zenon_Hcc zenon_H153 zenon_H275 zenon_H276 zenon_H277 zenon_Hb5 zenon_H252 zenon_Hd0.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H12e | zenon_intro zenon_H154 ].
% 0.77/0.93  apply (zenon_L191_); trivial.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H155.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H142. zenon_intro zenon_H156.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14a. zenon_intro zenon_H141.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.77/0.93  apply (zenon_L40_); trivial.
% 0.77/0.93  apply (zenon_L362_); trivial.
% 0.77/0.93  apply (zenon_L50_); trivial.
% 0.77/0.93  apply (zenon_L287_); trivial.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.77/0.93  apply (zenon_L439_); trivial.
% 0.77/0.93  apply (zenon_L287_); trivial.
% 0.77/0.93  (* end of lemma zenon_L440_ *)
% 0.77/0.93  assert (zenon_L441_ : ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (ndr1_0) -> (~(hskp3)) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H1c9 zenon_H2a zenon_H29 zenon_H28 zenon_He7 zenon_H277 zenon_H276 zenon_H275 zenon_Hf zenon_H41.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H165 | zenon_intro zenon_H1ca ].
% 0.77/0.93  apply (zenon_L120_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1cb | zenon_intro zenon_H42 ].
% 0.77/0.93  apply (zenon_L285_); trivial.
% 0.77/0.93  exact (zenon_H41 zenon_H42).
% 0.77/0.93  (* end of lemma zenon_L441_ *)
% 0.77/0.93  assert (zenon_L442_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (~(hskp3)) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (~(hskp11)) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H35 zenon_Hfc zenon_H41 zenon_H275 zenon_H276 zenon_H277 zenon_H1c9 zenon_Hde zenon_Hdd zenon_Hdc zenon_H31.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfe ].
% 0.77/0.93  apply (zenon_L441_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hdb | zenon_intro zenon_H32 ].
% 0.77/0.93  apply (zenon_L54_); trivial.
% 0.77/0.93  exact (zenon_H31 zenon_H32).
% 0.77/0.93  (* end of lemma zenon_L442_ *)
% 0.77/0.93  assert (zenon_L443_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp3)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H3a zenon_H3b zenon_Hfc zenon_H31 zenon_H275 zenon_H276 zenon_H277 zenon_H41 zenon_H1c9 zenon_H22 zenon_Hdc zenon_Hdd zenon_Hde zenon_H7c zenon_He5.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.77/0.93  apply (zenon_L55_); trivial.
% 0.77/0.93  apply (zenon_L442_); trivial.
% 0.77/0.93  (* end of lemma zenon_L443_ *)
% 0.77/0.93  assert (zenon_L444_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hd0 zenon_H80 zenon_H64 zenon_H7e zenon_H7c zenon_H8 zenon_H41 zenon_H43 zenon_H6d zenon_He5 zenon_Hde zenon_Hdd zenon_Hdc zenon_H22 zenon_H1c9 zenon_H277 zenon_H276 zenon_H275 zenon_H31 zenon_Hfc zenon_H3b zenon_H3e.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.77/0.93  apply (zenon_L36_); trivial.
% 0.77/0.93  apply (zenon_L443_); trivial.
% 0.77/0.93  apply (zenon_L59_); trivial.
% 0.77/0.93  (* end of lemma zenon_L444_ *)
% 0.77/0.93  assert (zenon_L445_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (c3_1 (a2070)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp4)) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H12a zenon_H191 zenon_H297 zenon_H296 zenon_H295 zenon_H276 zenon_H275 zenon_H277 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H23.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H160 | zenon_intro zenon_H194 ].
% 0.77/0.93  apply (zenon_L318_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H94 | zenon_intro zenon_H24 ].
% 0.77/0.93  apply (zenon_L300_); trivial.
% 0.77/0.93  exact (zenon_H23 zenon_H24).
% 0.77/0.93  (* end of lemma zenon_L445_ *)
% 0.77/0.93  assert (zenon_L446_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (c3_1 (a2070)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H35 zenon_H12d zenon_H191 zenon_H276 zenon_H275 zenon_H277 zenon_H62 zenon_H297 zenon_H296 zenon_H295 zenon_H266 zenon_H23 zenon_H46 zenon_H47 zenon_H48 zenon_H1d3 zenon_H212 zenon_H208.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.77/0.93  apply (zenon_L292_); trivial.
% 0.77/0.93  apply (zenon_L445_); trivial.
% 0.77/0.93  (* end of lemma zenon_L446_ *)
% 0.77/0.93  assert (zenon_L447_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (c3_1 (a2070)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hc8 zenon_Hd0 zenon_H252 zenon_H3b zenon_H191 zenon_H276 zenon_H275 zenon_H277 zenon_H62 zenon_H297 zenon_H296 zenon_H295 zenon_H266 zenon_H1d3 zenon_H212 zenon_H208 zenon_H80 zenon_Hcc zenon_H11b zenon_H23 zenon_H22 zenon_H8 zenon_H88 zenon_H6d zenon_H11f zenon_H12d zenon_Hcf zenon_H152 zenon_H3 zenon_Hb5 zenon_Hcd zenon_H3e.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.77/0.93  apply (zenon_L80_); trivial.
% 0.77/0.93  apply (zenon_L446_); trivial.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.77/0.93  apply (zenon_L298_); trivial.
% 0.77/0.93  apply (zenon_L446_); trivial.
% 0.77/0.93  apply (zenon_L287_); trivial.
% 0.77/0.93  (* end of lemma zenon_L447_ *)
% 0.77/0.93  assert (zenon_L448_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hd0 zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H235 zenon_Hc1 zenon_H2bb zenon_H214 zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H2ad zenon_Hcc zenon_H153.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.77/0.93  apply (zenon_L363_); trivial.
% 0.77/0.93  apply (zenon_L287_); trivial.
% 0.77/0.93  (* end of lemma zenon_L448_ *)
% 0.77/0.93  assert (zenon_L449_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (c3_1 (a2076)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hd0 zenon_H80 zenon_He5 zenon_Hde zenon_Hdd zenon_Hdc zenon_H1a7 zenon_H1a6 zenon_H1a8 zenon_H7c zenon_H7e zenon_H6d zenon_H22 zenon_H1c9 zenon_H41 zenon_H277 zenon_H276 zenon_H275 zenon_H31 zenon_Hfc zenon_H3b zenon_H3e.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.77/0.93  apply (zenon_L330_); trivial.
% 0.77/0.93  apply (zenon_L443_); trivial.
% 0.77/0.93  apply (zenon_L59_); trivial.
% 0.77/0.93  (* end of lemma zenon_L449_ *)
% 0.77/0.93  assert (zenon_L450_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (ndr1_0) -> (~(hskp9)) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H252 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H27 zenon_H277 zenon_H276 zenon_H275 zenon_Hf zenon_Hb5.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H8a | zenon_intro zenon_H253 ].
% 0.77/0.93  apply (zenon_L405_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1cb | zenon_intro zenon_Hb6 ].
% 0.77/0.93  apply (zenon_L285_); trivial.
% 0.77/0.93  exact (zenon_Hb5 zenon_Hb6).
% 0.77/0.93  (* end of lemma zenon_L450_ *)
% 0.77/0.93  assert (zenon_L451_ : ((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp9)) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp26)) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H205 zenon_H212 zenon_Hb5 zenon_H275 zenon_H276 zenon_H277 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H252 zenon_H11d.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_Hf. zenon_intro zenon_H206.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H1fa. zenon_intro zenon_H207.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1fb. zenon_intro zenon_H1fc.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ].
% 0.77/0.93  apply (zenon_L450_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ].
% 0.77/0.93  apply (zenon_L148_); trivial.
% 0.77/0.93  exact (zenon_H11d zenon_H11e).
% 0.77/0.93  (* end of lemma zenon_L451_ *)
% 0.77/0.93  assert (zenon_L452_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(hskp26)) -> (c2_1 (a2140)) -> (c3_1 (a2140)) -> (~(c0_1 (a2140))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (ndr1_0) -> (~(hskp4)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H208 zenon_H212 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H275 zenon_H276 zenon_H277 zenon_Hb5 zenon_H252 zenon_H1d3 zenon_H11d zenon_H29 zenon_H2a zenon_H28 zenon_H48 zenon_H47 zenon_H46 zenon_Hf zenon_H23 zenon_H266.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H205 ].
% 0.77/0.93  apply (zenon_L291_); trivial.
% 0.77/0.93  apply (zenon_L451_); trivial.
% 0.77/0.93  (* end of lemma zenon_L452_ *)
% 0.77/0.93  assert (zenon_L453_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H35 zenon_H12d zenon_H191 zenon_H62 zenon_H297 zenon_H296 zenon_H295 zenon_H266 zenon_H23 zenon_H46 zenon_H47 zenon_H48 zenon_H1d3 zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H212 zenon_H208.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.77/0.93  apply (zenon_L452_); trivial.
% 0.77/0.93  apply (zenon_L445_); trivial.
% 0.77/0.93  (* end of lemma zenon_L453_ *)
% 0.77/0.93  assert (zenon_L454_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a2116))) -> (c1_1 (a2116)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (ndr1_0) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hcc zenon_Hcd zenon_Hb5 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H11 zenon_H14 zenon_H20 zenon_H22 zenon_Hf zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.77/0.93  apply (zenon_L341_); trivial.
% 0.77/0.93  apply (zenon_L296_); trivial.
% 0.77/0.93  (* end of lemma zenon_L454_ *)
% 0.77/0.93  assert (zenon_L455_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hc8 zenon_Hd0 zenon_H3b zenon_H12d zenon_H191 zenon_H62 zenon_H266 zenon_H1d3 zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H212 zenon_H208 zenon_H6d zenon_H2bb zenon_H214 zenon_H297 zenon_H296 zenon_H295 zenon_H22 zenon_H23 zenon_H11b zenon_Hcc zenon_H80 zenon_Hcd zenon_H3e.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6b | zenon_intro zenon_H81 ].
% 0.77/0.93  apply (zenon_L31_); trivial.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H82.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H72. zenon_intro zenon_H83.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H70. zenon_intro zenon_H71.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.77/0.93  apply (zenon_L341_); trivial.
% 0.77/0.93  apply (zenon_L72_); trivial.
% 0.77/0.93  apply (zenon_L453_); trivial.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.77/0.93  apply (zenon_L454_); trivial.
% 0.77/0.93  apply (zenon_L453_); trivial.
% 0.77/0.93  apply (zenon_L287_); trivial.
% 0.77/0.93  (* end of lemma zenon_L455_ *)
% 0.77/0.93  assert (zenon_L456_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (~(c0_1 (a2076))) -> (ndr1_0) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp26)) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H212 zenon_H1a8 zenon_H1a7 zenon_H8a zenon_H1a6 zenon_Hf zenon_H23f zenon_H240 zenon_H20 zenon_H22 zenon_H11d.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ].
% 0.77/0.93  apply (zenon_L405_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ].
% 0.77/0.93  apply (zenon_L200_); trivial.
% 0.77/0.93  exact (zenon_H11d zenon_H11e).
% 0.77/0.93  (* end of lemma zenon_L456_ *)
% 0.77/0.93  assert (zenon_L457_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp9)) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (~(hskp26)) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H212 zenon_Hb5 zenon_H275 zenon_H276 zenon_H277 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H252 zenon_H240 zenon_H23f zenon_Hf zenon_H10 zenon_H11d.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ].
% 0.77/0.93  apply (zenon_L450_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ].
% 0.77/0.93  apply (zenon_L199_); trivial.
% 0.77/0.93  exact (zenon_H11d zenon_H11e).
% 0.77/0.93  (* end of lemma zenon_L457_ *)
% 0.77/0.93  assert (zenon_L458_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (~(hskp26)) -> (ndr1_0) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp9)) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hcd zenon_H22 zenon_H20 zenon_H11d zenon_Hf zenon_H23f zenon_H240 zenon_H252 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H277 zenon_H276 zenon_H275 zenon_H212 zenon_Hb5.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ].
% 0.77/0.93  apply (zenon_L456_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ].
% 0.77/0.93  apply (zenon_L457_); trivial.
% 0.77/0.93  exact (zenon_Hb5 zenon_Hb6).
% 0.77/0.93  (* end of lemma zenon_L458_ *)
% 0.77/0.93  assert (zenon_L459_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (ndr1_0) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hd0 zenon_H12d zenon_H2ad zenon_Hc1 zenon_H297 zenon_H296 zenon_H295 zenon_H212 zenon_H23f zenon_H240 zenon_H22 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_Hf zenon_H275 zenon_H276 zenon_H277 zenon_Hb5 zenon_H252 zenon_Hcd zenon_H235 zenon_H23b zenon_H153 zenon_H3b.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.77/0.93  apply (zenon_L458_); trivial.
% 0.77/0.93  apply (zenon_L345_); trivial.
% 0.77/0.93  apply (zenon_L350_); trivial.
% 0.77/0.93  apply (zenon_L287_); trivial.
% 0.77/0.93  (* end of lemma zenon_L459_ *)
% 0.77/0.93  assert (zenon_L460_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hc8 zenon_H3b zenon_H266 zenon_H1d3 zenon_H208 zenon_Hcd zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H22 zenon_H240 zenon_H23f zenon_H212 zenon_H295 zenon_H296 zenon_H297 zenon_H62 zenon_H23 zenon_H191 zenon_H12d.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.77/0.93  apply (zenon_L458_); trivial.
% 0.77/0.93  apply (zenon_L445_); trivial.
% 0.77/0.93  apply (zenon_L453_); trivial.
% 0.77/0.93  (* end of lemma zenon_L460_ *)
% 0.77/0.93  assert (zenon_L461_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp12)) -> (~(hskp10)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (~(hskp20)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H3b zenon_H153 zenon_H12d zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H212 zenon_H69 zenon_Hc1 zenon_H235 zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_H22 zenon_H240 zenon_H23f zenon_H15d zenon_H163.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.77/0.93  apply (zenon_L219_); trivial.
% 0.77/0.93  apply (zenon_L350_); trivial.
% 0.77/0.93  (* end of lemma zenon_L461_ *)
% 0.77/0.93  assert (zenon_L462_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (~(hskp26)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (ndr1_0) -> (~(c1_1 (a2130))) -> (~(c2_1 (a2130))) -> (~(c3_1 (a2130))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H254 zenon_H198 zenon_H197 zenon_H196 zenon_H11d zenon_H22 zenon_H20 zenon_H240 zenon_H23f zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H212 zenon_Hf zenon_H17f zenon_H180 zenon_H181.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H195 | zenon_intro zenon_H255 ].
% 0.77/0.93  apply (zenon_L104_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H8a | zenon_intro zenon_H17e ].
% 0.77/0.93  apply (zenon_L456_); trivial.
% 0.77/0.93  apply (zenon_L100_); trivial.
% 0.77/0.93  (* end of lemma zenon_L462_ *)
% 0.77/0.93  assert (zenon_L463_ : ((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H18a zenon_H3b zenon_H153 zenon_H23b zenon_H69 zenon_H235 zenon_H254 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H22 zenon_H240 zenon_H23f zenon_H212 zenon_H198 zenon_H197 zenon_H196 zenon_H295 zenon_H296 zenon_H297 zenon_Hc1 zenon_H2ad zenon_H12d.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Hf. zenon_intro zenon_H18c.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H17f. zenon_intro zenon_H18d.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.77/0.93  apply (zenon_L462_); trivial.
% 0.77/0.93  apply (zenon_L345_); trivial.
% 0.77/0.93  apply (zenon_L350_); trivial.
% 0.77/0.93  (* end of lemma zenon_L463_ *)
% 0.77/0.93  assert (zenon_L464_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H1a1 zenon_H190 zenon_H254 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H163 zenon_H23f zenon_H240 zenon_H22 zenon_H108 zenon_H107 zenon_H106 zenon_H235 zenon_Hc1 zenon_H69 zenon_H212 zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_H12d zenon_H153 zenon_H3b.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ].
% 0.77/0.93  apply (zenon_L461_); trivial.
% 0.77/0.93  apply (zenon_L463_); trivial.
% 0.77/0.93  (* end of lemma zenon_L464_ *)
% 0.77/0.93  assert (zenon_L465_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (~(c0_1 (a2076))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp27)) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H256 zenon_H1a8 zenon_H1a7 zenon_H8a zenon_H1a6 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H84.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H27 | zenon_intro zenon_H257 ].
% 0.77/0.93  apply (zenon_L405_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H165 | zenon_intro zenon_H85 ].
% 0.77/0.93  apply (zenon_L125_); trivial.
% 0.77/0.93  exact (zenon_H84 zenon_H85).
% 0.77/0.93  (* end of lemma zenon_L465_ *)
% 0.77/0.93  assert (zenon_L466_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (~(hskp27)) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a2130))) -> (~(c2_1 (a2130))) -> (~(c3_1 (a2130))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H254 zenon_H198 zenon_H197 zenon_H196 zenon_H84 zenon_H106 zenon_H107 zenon_H108 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H256 zenon_Hf zenon_H17f zenon_H180 zenon_H181.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H195 | zenon_intro zenon_H255 ].
% 0.77/0.93  apply (zenon_L104_); trivial.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H8a | zenon_intro zenon_H17e ].
% 0.77/0.93  apply (zenon_L465_); trivial.
% 0.77/0.93  apply (zenon_L100_); trivial.
% 0.77/0.93  (* end of lemma zenon_L466_ *)
% 0.77/0.93  assert (zenon_L467_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H1a1 zenon_H190 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H254 zenon_H163 zenon_H23f zenon_H240 zenon_H22 zenon_H108 zenon_H107 zenon_H106 zenon_H1d3 zenon_H48 zenon_H47 zenon_H46 zenon_H256 zenon_H62 zenon_Hcc zenon_H12d zenon_H3b.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ].
% 0.77/0.93  apply (zenon_L222_); trivial.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Hf. zenon_intro zenon_H18c.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H17f. zenon_intro zenon_H18d.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.77/0.93  apply (zenon_L126_); trivial.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.77/0.93  apply (zenon_L466_); trivial.
% 0.77/0.93  apply (zenon_L166_); trivial.
% 0.77/0.93  (* end of lemma zenon_L467_ *)
% 0.77/0.93  assert (zenon_L468_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hc8 zenon_H1a4 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H254 zenon_H3b zenon_H12d zenon_Hcc zenon_H62 zenon_H256 zenon_H1d3 zenon_H106 zenon_H107 zenon_H108 zenon_H22 zenon_H240 zenon_H23f zenon_H163 zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_H190.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.77/0.93  apply (zenon_L223_); trivial.
% 0.77/0.93  apply (zenon_L467_); trivial.
% 0.77/0.93  (* end of lemma zenon_L468_ *)
% 0.77/0.93  assert (zenon_L469_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp10)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> (~(c3_1 (a2079))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_Hcb zenon_H62 zenon_H1d3 zenon_H1a4 zenon_H254 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H3b zenon_H153 zenon_H12d zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H212 zenon_Hc1 zenon_H235 zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_H22 zenon_H240 zenon_H23f zenon_H163 zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_H190 zenon_H225 zenon_H2c2 zenon_H3 zenon_H152 zenon_H256 zenon_Hc4 zenon_Hcc zenon_H22f zenon_H1a5 zenon_Hd0.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ].
% 0.77/0.93  apply (zenon_L461_); trivial.
% 0.77/0.93  apply (zenon_L102_); trivial.
% 0.77/0.93  apply (zenon_L464_); trivial.
% 0.77/0.93  apply (zenon_L356_); trivial.
% 0.77/0.93  apply (zenon_L468_); trivial.
% 0.77/0.93  (* end of lemma zenon_L469_ *)
% 0.77/0.93  assert (zenon_L470_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H103 zenon_Hcb zenon_H1a4 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H254 zenon_H3b zenon_H12d zenon_Hcc zenon_H62 zenon_H256 zenon_H1d3 zenon_H106 zenon_H107 zenon_H108 zenon_H22 zenon_H240 zenon_H23f zenon_H163 zenon_H18b zenon_H190 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.93  apply (zenon_L107_); trivial.
% 0.77/0.93  apply (zenon_L468_); trivial.
% 0.77/0.93  (* end of lemma zenon_L470_ *)
% 0.77/0.93  assert (zenon_L471_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2079))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H116 zenon_H114 zenon_Hfc zenon_Hd0 zenon_H1a5 zenon_H22f zenon_Hcc zenon_Hc4 zenon_H256 zenon_H152 zenon_H3 zenon_H2c2 zenon_H225 zenon_H190 zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_H163 zenon_H23f zenon_H240 zenon_H22 zenon_H235 zenon_H212 zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_H12d zenon_H153 zenon_H3b zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H254 zenon_H1a4 zenon_H1d3 zenon_H62 zenon_Hcb.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.93  apply (zenon_L469_); trivial.
% 0.77/0.93  apply (zenon_L470_); trivial.
% 0.77/0.93  (* end of lemma zenon_L471_ *)
% 0.77/0.93  assert (zenon_L472_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp3)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> False).
% 0.77/0.93  do 0 intro. intros zenon_H3a zenon_H3b zenon_Hfc zenon_H31 zenon_H275 zenon_H276 zenon_H277 zenon_H41 zenon_H1c9 zenon_H22 zenon_Hdc zenon_Hdd zenon_Hde zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.77/0.93  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.77/0.93  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.77/0.93  apply (zenon_L119_); trivial.
% 0.77/0.93  apply (zenon_L442_); trivial.
% 0.77/0.93  (* end of lemma zenon_L472_ *)
% 0.77/0.93  assert (zenon_L473_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H114 zenon_H1cf zenon_H41 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc zenon_Hd0 zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H297 zenon_H296 zenon_H295 zenon_H8 zenon_H88 zenon_H235 zenon_Hc4 zenon_Hcf zenon_H12d zenon_H11f zenon_H62 zenon_Hcb.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L440_); trivial.
% 0.77/0.94  apply (zenon_L130_); trivial.
% 0.77/0.94  (* end of lemma zenon_L473_ *)
% 0.77/0.94  assert (zenon_L474_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp3)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a2076)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H103 zenon_Hcb zenon_H1cf zenon_H3e zenon_H3b zenon_Hfc zenon_H275 zenon_H276 zenon_H277 zenon_H41 zenon_H1c9 zenon_H22 zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H6d zenon_H7e zenon_H7c zenon_H1a8 zenon_H1a6 zenon_H1a7 zenon_He5 zenon_H80 zenon_Hb5 zenon_H252 zenon_Hd0.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.77/0.94  apply (zenon_L330_); trivial.
% 0.77/0.94  apply (zenon_L472_); trivial.
% 0.77/0.94  apply (zenon_L287_); trivial.
% 0.77/0.94  apply (zenon_L123_); trivial.
% 0.77/0.94  (* end of lemma zenon_L474_ *)
% 0.77/0.94  assert (zenon_L475_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H114 zenon_Hcb zenon_H1cf zenon_H41 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb zenon_H235 zenon_H275 zenon_H276 zenon_H277 zenon_Hb5 zenon_H252 zenon_Hd0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L448_); trivial.
% 0.77/0.94  apply (zenon_L130_); trivial.
% 0.77/0.94  (* end of lemma zenon_L475_ *)
% 0.77/0.94  assert (zenon_L476_ : ((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> (~(hskp3)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H1d7 zenon_H115 zenon_H1c9 zenon_Hd0 zenon_H252 zenon_H277 zenon_H276 zenon_H275 zenon_H235 zenon_H2bb zenon_H214 zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H2ad zenon_Hcc zenon_H153 zenon_Hfc zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H41 zenon_H1cf zenon_Hcb zenon_H114.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L475_); trivial.
% 0.77/0.94  apply (zenon_L311_); trivial.
% 0.77/0.94  (* end of lemma zenon_L476_ *)
% 0.77/0.94  assert (zenon_L477_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (ndr1_0) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H114 zenon_Hcb zenon_H1cf zenon_H41 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc zenon_H3b zenon_H153 zenon_H23b zenon_H235 zenon_Hcd zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_Hf zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H22 zenon_H240 zenon_H23f zenon_H212 zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_H12d zenon_Hd0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L459_); trivial.
% 0.77/0.94  apply (zenon_L130_); trivial.
% 0.77/0.94  (* end of lemma zenon_L477_ *)
% 0.77/0.94  assert (zenon_L478_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H114 zenon_H209 zenon_H23 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb zenon_H235 zenon_H275 zenon_H276 zenon_H277 zenon_Hb5 zenon_H252 zenon_Hd0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L448_); trivial.
% 0.77/0.94  apply (zenon_L156_); trivial.
% 0.77/0.94  (* end of lemma zenon_L478_ *)
% 0.77/0.94  assert (zenon_L479_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H115 zenon_H234 zenon_H1a5 zenon_H2bd zenon_H22 zenon_Hc4 zenon_H256 zenon_H225 zenon_H3b zenon_H218 zenon_H1d3 zenon_H12d zenon_Hcb zenon_Hd0 zenon_H252 zenon_H277 zenon_H276 zenon_H275 zenon_H235 zenon_H2bb zenon_H214 zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H2ad zenon_Hcc zenon_H153 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H23 zenon_H209 zenon_H114.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L478_); trivial.
% 0.77/0.94  apply (zenon_L372_); trivial.
% 0.77/0.94  (* end of lemma zenon_L479_ *)
% 0.77/0.94  assert (zenon_L480_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H114 zenon_H209 zenon_H23 zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hd0 zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H297 zenon_H296 zenon_H295 zenon_H8 zenon_H88 zenon_H235 zenon_Hc4 zenon_Hcf zenon_H12d zenon_H11f zenon_H62 zenon_Hcb.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L440_); trivial.
% 0.77/0.94  apply (zenon_L156_); trivial.
% 0.77/0.94  (* end of lemma zenon_L480_ *)
% 0.77/0.94  assert (zenon_L481_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (ndr1_0) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H114 zenon_H209 zenon_H23 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H3b zenon_H153 zenon_H23b zenon_H235 zenon_Hcd zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_Hf zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H22 zenon_H240 zenon_H23f zenon_H212 zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_H12d zenon_Hd0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L459_); trivial.
% 0.77/0.94  apply (zenon_L156_); trivial.
% 0.77/0.94  (* end of lemma zenon_L481_ *)
% 0.77/0.94  assert (zenon_L482_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H115 zenon_H234 zenon_H1a5 zenon_H2bd zenon_Hc4 zenon_H256 zenon_H225 zenon_H218 zenon_H1d3 zenon_H12d zenon_Hcb zenon_Hd0 zenon_H252 zenon_H277 zenon_H276 zenon_H275 zenon_H235 zenon_H2bb zenon_H214 zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H2ad zenon_Hcc zenon_H153 zenon_Hff zenon_H3e zenon_H80 zenon_H7e zenon_H7c zenon_H22 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H20d zenon_H6d zenon_Hfb zenon_H3b zenon_H3 zenon_H5 zenon_He5 zenon_H114.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L448_); trivial.
% 0.77/0.94  apply (zenon_L233_); trivial.
% 0.77/0.94  apply (zenon_L389_); trivial.
% 0.77/0.94  (* end of lemma zenon_L482_ *)
% 0.77/0.94  assert (zenon_L483_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H114 zenon_Hff zenon_H3b zenon_H20d zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H26f zenon_H22 zenon_Hfb zenon_H64 zenon_H3 zenon_H5 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc zenon_Hd0 zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H297 zenon_H296 zenon_H295 zenon_H8 zenon_H88 zenon_H235 zenon_Hc4 zenon_Hcf zenon_H12d zenon_H11f zenon_H62 zenon_Hcb.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L440_); trivial.
% 0.77/0.94  apply (zenon_L393_); trivial.
% 0.77/0.94  (* end of lemma zenon_L483_ *)
% 0.77/0.94  assert (zenon_L484_ : ((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H100 zenon_Hfb zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hdc zenon_Hdd zenon_Hde zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_Hb5 zenon_H275 zenon_H276 zenon_H277 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H252.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ].
% 0.77/0.94  apply (zenon_L226_); trivial.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ].
% 0.77/0.94  apply (zenon_L450_); trivial.
% 0.77/0.94  apply (zenon_L57_); trivial.
% 0.77/0.94  (* end of lemma zenon_L484_ *)
% 0.77/0.94  assert (zenon_L485_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H103 zenon_Hff zenon_Hfb zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H275 zenon_H276 zenon_H277 zenon_Hb5 zenon_H252 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H3 zenon_H5.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ].
% 0.77/0.94  apply (zenon_L3_); trivial.
% 0.77/0.94  apply (zenon_L484_); trivial.
% 0.77/0.94  (* end of lemma zenon_L485_ *)
% 0.77/0.94  assert (zenon_L486_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H114 zenon_Hff zenon_Hfb zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H3 zenon_H5 zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb zenon_H235 zenon_H275 zenon_H276 zenon_H277 zenon_Hb5 zenon_H252 zenon_Hd0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L448_); trivial.
% 0.77/0.94  apply (zenon_L485_); trivial.
% 0.77/0.94  (* end of lemma zenon_L486_ *)
% 0.77/0.94  assert (zenon_L487_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (ndr1_0) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H114 zenon_Hff zenon_Hfb zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H3 zenon_H5 zenon_H3b zenon_H153 zenon_H23b zenon_H235 zenon_Hcd zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_Hf zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H22 zenon_H240 zenon_H23f zenon_H212 zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_H12d zenon_Hd0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L459_); trivial.
% 0.77/0.94  apply (zenon_L485_); trivial.
% 0.77/0.94  (* end of lemma zenon_L487_ *)
% 0.77/0.94  assert (zenon_L488_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H116 zenon_H114 zenon_H1cf zenon_H41 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc zenon_H3b zenon_H12d zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H212 zenon_H256 zenon_Hc4 zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc zenon_Hcb.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L414_); trivial.
% 0.77/0.94  apply (zenon_L130_); trivial.
% 0.77/0.94  (* end of lemma zenon_L488_ *)
% 0.77/0.94  assert (zenon_L489_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> (~(hskp3)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp27)\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H103 zenon_Hd0 zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H80 zenon_Hcc zenon_H23b zenon_H259 zenon_H258 zenon_H25a zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H41 zenon_H1cf zenon_He5 zenon_H7c zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H2d2 zenon_H7e zenon_H64 zenon_H6d zenon_H1c5 zenon_H3e.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.77/0.94  apply (zenon_L409_); trivial.
% 0.77/0.94  apply (zenon_L287_); trivial.
% 0.77/0.94  (* end of lemma zenon_L489_ *)
% 0.77/0.94  assert (zenon_L490_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (~(hskp20)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H3b zenon_H12d zenon_H2ad zenon_Hc1 zenon_H297 zenon_H296 zenon_H295 zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H212 zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_H22 zenon_H240 zenon_H23f zenon_H15d zenon_H163.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.77/0.94  apply (zenon_L219_); trivial.
% 0.77/0.94  apply (zenon_L413_); trivial.
% 0.77/0.94  (* end of lemma zenon_L490_ *)
% 0.77/0.94  assert (zenon_L491_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (~(hskp26)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (ndr1_0) -> (~(c1_1 (a2130))) -> (~(c2_1 (a2130))) -> (~(c3_1 (a2130))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H254 zenon_H198 zenon_H197 zenon_H196 zenon_H11d zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H108 zenon_H107 zenon_H106 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H212 zenon_Hf zenon_H17f zenon_H180 zenon_H181.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H195 | zenon_intro zenon_H255 ].
% 0.77/0.94  apply (zenon_L104_); trivial.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H8a | zenon_intro zenon_H17e ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ].
% 0.77/0.94  apply (zenon_L405_); trivial.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ].
% 0.77/0.94  apply (zenon_L411_); trivial.
% 0.77/0.94  exact (zenon_H11d zenon_H11e).
% 0.77/0.94  apply (zenon_L100_); trivial.
% 0.77/0.94  (* end of lemma zenon_L491_ *)
% 0.77/0.94  assert (zenon_L492_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c3_1 (a2071))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H1a1 zenon_H190 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H254 zenon_H163 zenon_H23f zenon_H240 zenon_H22 zenon_H108 zenon_H107 zenon_H106 zenon_H212 zenon_H258 zenon_H259 zenon_H25a zenon_H1d3 zenon_H295 zenon_H296 zenon_H297 zenon_Hc1 zenon_H2ad zenon_H12d zenon_H3b.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ].
% 0.77/0.94  apply (zenon_L490_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Hf. zenon_intro zenon_H18c.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H17f. zenon_intro zenon_H18d.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H180. zenon_intro zenon_H181.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.77/0.94  apply (zenon_L491_); trivial.
% 0.77/0.94  apply (zenon_L345_); trivial.
% 0.77/0.94  (* end of lemma zenon_L492_ *)
% 0.77/0.94  assert (zenon_L493_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c3_1 (a2071))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H116 zenon_H114 zenon_Hcb zenon_Hcc zenon_H62 zenon_H256 zenon_Hfc zenon_H190 zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_H163 zenon_H23f zenon_H240 zenon_H22 zenon_H212 zenon_H258 zenon_H259 zenon_H25a zenon_H1d3 zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_H12d zenon_H3b zenon_H254 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a4.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ].
% 0.77/0.94  apply (zenon_L490_); trivial.
% 0.77/0.94  apply (zenon_L102_); trivial.
% 0.77/0.94  apply (zenon_L492_); trivial.
% 0.77/0.94  apply (zenon_L470_); trivial.
% 0.77/0.94  (* end of lemma zenon_L493_ *)
% 0.77/0.94  assert (zenon_L494_ : ((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c3_1 (a2071))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> (~(hskp3)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H1d7 zenon_H115 zenon_Hcc zenon_H62 zenon_H256 zenon_H190 zenon_H18b zenon_H163 zenon_H258 zenon_H259 zenon_H25a zenon_H1d3 zenon_H254 zenon_H1a4 zenon_Hd0 zenon_H12d zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H212 zenon_H23f zenon_H240 zenon_H22 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H275 zenon_H276 zenon_H277 zenon_H252 zenon_Hcd zenon_H235 zenon_H23b zenon_H153 zenon_H3b zenon_Hfc zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H41 zenon_H1cf zenon_Hcb zenon_H114.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L477_); trivial.
% 0.77/0.94  apply (zenon_L493_); trivial.
% 0.77/0.94  (* end of lemma zenon_L494_ *)
% 0.77/0.94  assert (zenon_L495_ : ((ndr1_0)/\((c0_1 (a2079))/\((c1_1 (a2079))/\(~(c3_1 (a2079)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H2cc zenon_H115 zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H256 zenon_Hc4 zenon_Hcc zenon_Hcb zenon_Hd0 zenon_H12d zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H212 zenon_H22 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H275 zenon_H276 zenon_H277 zenon_H252 zenon_Hcd zenon_H235 zenon_H23b zenon_H153 zenon_H3b zenon_H1dd zenon_H1de zenon_H1e6 zenon_H23 zenon_H209 zenon_H114.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L481_); trivial.
% 0.77/0.94  apply (zenon_L415_); trivial.
% 0.77/0.94  (* end of lemma zenon_L495_ *)
% 0.77/0.94  assert (zenon_L496_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H103 zenon_Hcb zenon_H12d zenon_Hcc zenon_H62 zenon_H20d zenon_Hfb zenon_H258 zenon_H259 zenon_H212 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H275 zenon_H276 zenon_H277 zenon_Hb5 zenon_H252 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_L107_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H8a | zenon_intro zenon_H253 ].
% 0.77/0.94  apply (zenon_L436_); trivial.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1cb | zenon_intro zenon_Hb6 ].
% 0.77/0.94  apply (zenon_L285_); trivial.
% 0.77/0.94  exact (zenon_Hb5 zenon_Hb6).
% 0.77/0.94  apply (zenon_L395_); trivial.
% 0.77/0.94  (* end of lemma zenon_L496_ *)
% 0.77/0.94  assert (zenon_L497_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (ndr1_0) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H114 zenon_H80 zenon_Hcc zenon_He5 zenon_H7e zenon_H7c zenon_H25a zenon_H258 zenon_H259 zenon_Hfb zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H20d zenon_H6d zenon_H3e zenon_H3b zenon_H153 zenon_H23b zenon_H235 zenon_Hcd zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_Hf zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H22 zenon_H240 zenon_H23f zenon_H212 zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_H12d zenon_Hd0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L459_); trivial.
% 0.77/0.94  apply (zenon_L429_); trivial.
% 0.77/0.94  (* end of lemma zenon_L497_ *)
% 0.77/0.94  assert (zenon_L498_ : ((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(c3_1 (a2071))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False).
% 0.77/0.94  do 0 intro. intros zenon_H1d7 zenon_H115 zenon_H256 zenon_H190 zenon_H18b zenon_H163 zenon_H25a zenon_H1d3 zenon_H254 zenon_H1a4 zenon_Hd0 zenon_H12d zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H212 zenon_H23f zenon_H240 zenon_H22 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H275 zenon_H276 zenon_H277 zenon_H252 zenon_Hcd zenon_H235 zenon_H23b zenon_H153 zenon_H3b zenon_Hfc zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H259 zenon_H258 zenon_Hfb zenon_H20d zenon_H62 zenon_Hcc zenon_Hcb zenon_H114.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L459_); trivial.
% 0.77/0.94  apply (zenon_L496_); trivial.
% 0.77/0.94  apply (zenon_L493_); trivial.
% 0.77/0.94  (* end of lemma zenon_L498_ *)
% 0.77/0.94  apply NNPP. intro zenon_G.
% 0.77/0.94  apply zenon_G. zenon_intro zenon_H2d4.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H2d6. zenon_intro zenon_H2d5.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H2d8. zenon_intro zenon_H2d7.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H2da. zenon_intro zenon_H2d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H2dc. zenon_intro zenon_H2db.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H290. zenon_intro zenon_H2df.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H2cd. zenon_intro zenon_H2e4.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H115. zenon_intro zenon_H2e5.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H114. zenon_intro zenon_H2e6.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_Hcb. zenon_intro zenon_H2e7.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_Hd0. zenon_intro zenon_H2e8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2ea. zenon_intro zenon_H2e9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H1a4. zenon_intro zenon_H2eb.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H234. zenon_intro zenon_H2ec.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H1a5. zenon_intro zenon_H2ed.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_Hff. zenon_intro zenon_H2ee.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H3e. zenon_intro zenon_H2ef.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H2f1. zenon_intro zenon_H2f0.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H190. zenon_intro zenon_H2f2.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2f4. zenon_intro zenon_H2f3.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H3b. zenon_intro zenon_H2f5.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_Hcf. zenon_intro zenon_H2f6.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H153. zenon_intro zenon_H2f7.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H80. zenon_intro zenon_H2f8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H12d. zenon_intro zenon_H2f9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_Hcc. zenon_intro zenon_H2fa.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H208. zenon_intro zenon_H2fb.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H64. zenon_intro zenon_H2fc.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H254. zenon_intro zenon_H2fd.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H1ed. zenon_intro zenon_H2fe.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H1eb. zenon_intro zenon_H2ff.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H19f. zenon_intro zenon_H300.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H20d. zenon_intro zenon_H301.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H209. zenon_intro zenon_H302.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H1f5. zenon_intro zenon_H303.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_Hfb. zenon_intro zenon_H304.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H26f. zenon_intro zenon_H305.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H307. zenon_intro zenon_H306.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H22f. zenon_intro zenon_H308.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H2bd. zenon_intro zenon_H309.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H1c5. zenon_intro zenon_H30a.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H25. zenon_intro zenon_H30b.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_He5. zenon_intro zenon_H30c.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H152. zenon_intro zenon_H30d.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_Hcd. zenon_intro zenon_H30e.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H252. zenon_intro zenon_H30f.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H2b9. zenon_intro zenon_H310.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H191. zenon_intro zenon_H311.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H2ad. zenon_intro zenon_H312.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H2bb. zenon_intro zenon_H313.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H11b. zenon_intro zenon_H314.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H7e. zenon_intro zenon_H315.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H317. zenon_intro zenon_H316.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H319. zenon_intro zenon_H318.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H31b. zenon_intro zenon_H31a.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H31d. zenon_intro zenon_H31c.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H31f. zenon_intro zenon_H31e.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H18b. zenon_intro zenon_H320.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_Hfc. zenon_intro zenon_H321.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H289. zenon_intro zenon_H322.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H28d. zenon_intro zenon_H323.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H266. zenon_intro zenon_H324.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H65. zenon_intro zenon_H325.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H256. zenon_intro zenon_H326.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H225. zenon_intro zenon_H327.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H212. zenon_intro zenon_H328.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H2d2. zenon_intro zenon_H329.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H36. zenon_intro zenon_H32a.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H2ca. zenon_intro zenon_H32b.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H136. zenon_intro zenon_H32c.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H151. zenon_intro zenon_H32d.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_Hce. zenon_intro zenon_H32e.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H21a. zenon_intro zenon_H32f.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H1d3. zenon_intro zenon_H330.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H1cf. zenon_intro zenon_H331.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H62. zenon_intro zenon_H332.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Ha5. zenon_intro zenon_H333.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H335. zenon_intro zenon_H334.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H2b7. zenon_intro zenon_H336.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H338. zenon_intro zenon_H337.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H11f. zenon_intro zenon_H339.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_Hc4. zenon_intro zenon_H33a.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H1c9. zenon_intro zenon_H33b.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H163. zenon_intro zenon_H33c.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H218. zenon_intro zenon_H33d.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H203. zenon_intro zenon_H33e.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H1c1. zenon_intro zenon_H33f.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H23b. zenon_intro zenon_H340.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H342. zenon_intro zenon_H341.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H344. zenon_intro zenon_H343.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H22. zenon_intro zenon_H345.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H293. zenon_intro zenon_H346.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H348. zenon_intro zenon_H347.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H34a. zenon_intro zenon_H349.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H34c. zenon_intro zenon_H34b.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H88. zenon_intro zenon_H34d.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H34f. zenon_intro zenon_H34e.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H5. zenon_intro zenon_H350.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H26d. zenon_intro zenon_H351.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H130. zenon_intro zenon_H352.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_Hc. zenon_intro zenon_H353.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H43. zenon_intro zenon_H354.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H235. zenon_intro zenon_H6d.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H33 | zenon_intro zenon_H355 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H356 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H3 | zenon_intro zenon_H357 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H41 | zenon_intro zenon_H358 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H6 | zenon_intro zenon_H359 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_L19_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.77/0.94  apply (zenon_L28_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hf. zenon_intro zenon_H35a.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H9e. zenon_intro zenon_H35b.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H95. zenon_intro zenon_H96.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_L69_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L109_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L67_); trivial.
% 0.77/0.94  apply (zenon_L108_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6.
% 0.77/0.94  apply (zenon_L111_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L118_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L67_); trivial.
% 0.77/0.94  apply (zenon_L124_); trivial.
% 0.77/0.94  apply (zenon_L131_); trivial.
% 0.77/0.94  apply (zenon_L132_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hf. zenon_intro zenon_H35c.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1dd. zenon_intro zenon_H35d.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1de. zenon_intro zenon_H1e6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H6 | zenon_intro zenon_H359 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_L133_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.77/0.94  apply (zenon_L140_); trivial.
% 0.77/0.94  apply (zenon_L143_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hf. zenon_intro zenon_H35a.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H9e. zenon_intro zenon_H35b.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H95. zenon_intro zenon_H96.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_L157_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_L164_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.77/0.94  apply (zenon_L168_); trivial.
% 0.77/0.94  apply (zenon_L169_); trivial.
% 0.77/0.94  apply (zenon_L174_); trivial.
% 0.77/0.94  apply (zenon_L156_); trivial.
% 0.77/0.94  apply (zenon_L190_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_L157_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_L164_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.77/0.94  apply (zenon_L210_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ].
% 0.77/0.94  apply (zenon_L3_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ].
% 0.77/0.94  apply (zenon_L168_); trivial.
% 0.77/0.94  apply (zenon_L214_); trivial.
% 0.77/0.94  apply (zenon_L137_); trivial.
% 0.77/0.94  apply (zenon_L102_); trivial.
% 0.77/0.94  apply (zenon_L218_); trivial.
% 0.77/0.94  apply (zenon_L156_); trivial.
% 0.77/0.94  apply (zenon_L225_); trivial.
% 0.77/0.94  apply (zenon_L132_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L118_); trivial.
% 0.77/0.94  apply (zenon_L234_); trivial.
% 0.77/0.94  apply (zenon_L240_); trivial.
% 0.77/0.94  apply (zenon_L132_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_Hf. zenon_intro zenon_H35e.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H258. zenon_intro zenon_H35f.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H259. zenon_intro zenon_H25a.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H41 | zenon_intro zenon_H358 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H6 | zenon_intro zenon_H359 ].
% 0.77/0.94  apply (zenon_L241_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hf. zenon_intro zenon_H35a.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H9e. zenon_intro zenon_H35b.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H95. zenon_intro zenon_H96.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L52_); trivial.
% 0.77/0.94  apply (zenon_L252_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L67_); trivial.
% 0.77/0.94  apply (zenon_L252_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H14f | zenon_intro zenon_H18f ].
% 0.77/0.94  apply (zenon_L247_); trivial.
% 0.77/0.94  apply (zenon_L103_); trivial.
% 0.77/0.94  apply (zenon_L143_); trivial.
% 0.77/0.94  apply (zenon_L66_); trivial.
% 0.77/0.94  apply (zenon_L108_); trivial.
% 0.77/0.94  apply (zenon_L132_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L118_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L129_); trivial.
% 0.77/0.94  apply (zenon_L256_); trivial.
% 0.77/0.94  apply (zenon_L131_); trivial.
% 0.77/0.94  apply (zenon_L132_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hf. zenon_intro zenon_H35c.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1dd. zenon_intro zenon_H35d.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1de. zenon_intro zenon_H1e6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H6 | zenon_intro zenon_H359 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_L133_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ].
% 0.77/0.94  apply (zenon_L258_); trivial.
% 0.77/0.94  apply (zenon_L139_); trivial.
% 0.77/0.94  apply (zenon_L143_); trivial.
% 0.77/0.94  apply (zenon_L268_); trivial.
% 0.77/0.94  apply (zenon_L156_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hf. zenon_intro zenon_H35a.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H9e. zenon_intro zenon_H35b.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H95. zenon_intro zenon_H96.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_L157_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_L275_); trivial.
% 0.77/0.94  apply (zenon_L268_); trivial.
% 0.77/0.94  apply (zenon_L156_); trivial.
% 0.77/0.94  apply (zenon_L132_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L118_); trivial.
% 0.77/0.94  apply (zenon_L284_); trivial.
% 0.77/0.94  apply (zenon_L240_); trivial.
% 0.77/0.94  apply (zenon_L132_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_Hf. zenon_intro zenon_H360.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H276. zenon_intro zenon_H361.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H277. zenon_intro zenon_H275.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H3 | zenon_intro zenon_H357 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H41 | zenon_intro zenon_H358 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_L288_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H216 | zenon_intro zenon_H231 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.77/0.94  apply (zenon_L295_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.77/0.94  apply (zenon_L298_); trivial.
% 0.77/0.94  apply (zenon_L301_); trivial.
% 0.77/0.94  apply (zenon_L310_); trivial.
% 0.77/0.94  apply (zenon_L287_); trivial.
% 0.77/0.94  apply (zenon_L311_); trivial.
% 0.77/0.94  apply (zenon_L132_); trivial.
% 0.77/0.94  apply (zenon_L313_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hf. zenon_intro zenon_H35c.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1dd. zenon_intro zenon_H35d.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1de. zenon_intro zenon_H1e6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_L288_); trivial.
% 0.77/0.94  apply (zenon_L314_); trivial.
% 0.77/0.94  apply (zenon_L156_); trivial.
% 0.77/0.94  apply (zenon_L315_); trivial.
% 0.77/0.94  apply (zenon_L132_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L312_); trivial.
% 0.77/0.94  apply (zenon_L234_); trivial.
% 0.77/0.94  apply (zenon_L316_); trivial.
% 0.77/0.94  apply (zenon_L132_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_Hf. zenon_intro zenon_H35e.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H258. zenon_intro zenon_H35f.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H259. zenon_intro zenon_H25a.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H41 | zenon_intro zenon_H358 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ].
% 0.77/0.94  apply (zenon_L317_); trivial.
% 0.77/0.94  apply (zenon_L313_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hf. zenon_intro zenon_H35c.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1dd. zenon_intro zenon_H35d.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1de. zenon_intro zenon_H1e6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ].
% 0.77/0.94  apply (zenon_L317_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L312_); trivial.
% 0.77/0.94  apply (zenon_L284_); trivial.
% 0.77/0.94  apply (zenon_L316_); trivial.
% 0.77/0.94  apply (zenon_L132_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_Hf. zenon_intro zenon_H362.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H297. zenon_intro zenon_H363.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H295. zenon_intro zenon_H296.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H356 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H3 | zenon_intro zenon_H357 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H41 | zenon_intro zenon_H358 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L323_); trivial.
% 0.77/0.94  apply (zenon_L324_); trivial.
% 0.77/0.94  apply (zenon_L325_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L336_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L347_); trivial.
% 0.77/0.94  apply (zenon_L349_); trivial.
% 0.77/0.94  apply (zenon_L325_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L336_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L357_); trivial.
% 0.77/0.94  apply (zenon_L349_); trivial.
% 0.77/0.94  apply (zenon_L325_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L358_); trivial.
% 0.77/0.94  apply (zenon_L124_); trivial.
% 0.77/0.94  apply (zenon_L359_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L360_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L347_); trivial.
% 0.77/0.94  apply (zenon_L361_); trivial.
% 0.77/0.94  apply (zenon_L359_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L360_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L357_); trivial.
% 0.77/0.94  apply (zenon_L361_); trivial.
% 0.77/0.94  apply (zenon_L359_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hf. zenon_intro zenon_H35c.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1dd. zenon_intro zenon_H35d.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1de. zenon_intro zenon_H1e6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L371_); trivial.
% 0.77/0.94  apply (zenon_L372_); trivial.
% 0.77/0.94  apply (zenon_L378_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L384_); trivial.
% 0.77/0.94  apply (zenon_L385_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L388_); trivial.
% 0.77/0.94  apply (zenon_L385_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_L390_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L394_); trivial.
% 0.77/0.94  apply (zenon_L398_); trivial.
% 0.77/0.94  apply (zenon_L401_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_Hf. zenon_intro zenon_H35e.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H258. zenon_intro zenon_H35f.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H259. zenon_intro zenon_H25a.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H41 | zenon_intro zenon_H358 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L323_); trivial.
% 0.77/0.94  apply (zenon_L403_); trivial.
% 0.77/0.94  apply (zenon_L325_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L323_); trivial.
% 0.77/0.94  apply (zenon_L404_); trivial.
% 0.77/0.94  apply (zenon_L325_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L358_); trivial.
% 0.77/0.94  apply (zenon_L256_); trivial.
% 0.77/0.94  apply (zenon_L359_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L358_); trivial.
% 0.77/0.94  apply (zenon_L410_); trivial.
% 0.77/0.94  apply (zenon_L359_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hf. zenon_intro zenon_H35c.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1dd. zenon_intro zenon_H35d.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1de. zenon_intro zenon_H1e6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ].
% 0.77/0.94  apply (zenon_L416_); trivial.
% 0.77/0.94  apply (zenon_L418_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L419_); trivial.
% 0.77/0.94  apply (zenon_L420_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L377_); trivial.
% 0.77/0.94  apply (zenon_L424_); trivial.
% 0.77/0.94  apply (zenon_L398_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_L425_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L387_); trivial.
% 0.77/0.94  apply (zenon_L424_); trivial.
% 0.77/0.94  apply (zenon_L426_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L419_); trivial.
% 0.77/0.94  apply (zenon_L430_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.77/0.94  apply (zenon_L373_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ].
% 0.77/0.94  apply (zenon_L341_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ].
% 0.77/0.94  apply (zenon_L136_); trivial.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ].
% 0.77/0.94  apply (zenon_L14_); trivial.
% 0.77/0.94  apply (zenon_L432_); trivial.
% 0.77/0.94  apply (zenon_L345_); trivial.
% 0.77/0.94  apply (zenon_L375_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_L107_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.77/0.94  apply (zenon_L433_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.77/0.94  apply (zenon_L434_); trivial.
% 0.77/0.94  apply (zenon_L395_); trivial.
% 0.77/0.94  apply (zenon_L435_); trivial.
% 0.77/0.94  apply (zenon_L426_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L383_); trivial.
% 0.77/0.94  apply (zenon_L429_); trivial.
% 0.77/0.94  apply (zenon_L420_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L387_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_L107_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ].
% 0.77/0.94  apply (zenon_L433_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ].
% 0.77/0.94  apply (zenon_L437_); trivial.
% 0.77/0.94  apply (zenon_L395_); trivial.
% 0.77/0.94  apply (zenon_L426_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_Hf. zenon_intro zenon_H360.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H276. zenon_intro zenon_H361.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H277. zenon_intro zenon_H275.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H3 | zenon_intro zenon_H357 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H41 | zenon_intro zenon_H358 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L440_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_L444_); trivial.
% 0.77/0.94  apply (zenon_L447_); trivial.
% 0.77/0.94  apply (zenon_L311_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L440_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_L107_); trivial.
% 0.77/0.94  apply (zenon_L447_); trivial.
% 0.77/0.94  apply (zenon_L311_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L448_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_L449_); trivial.
% 0.77/0.94  apply (zenon_L455_); trivial.
% 0.77/0.94  apply (zenon_L311_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L448_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_L107_); trivial.
% 0.77/0.94  apply (zenon_L455_); trivial.
% 0.77/0.94  apply (zenon_L311_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L459_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_L449_); trivial.
% 0.77/0.94  apply (zenon_L460_); trivial.
% 0.77/0.94  apply (zenon_L311_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L459_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_L107_); trivial.
% 0.77/0.94  apply (zenon_L460_); trivial.
% 0.77/0.94  apply (zenon_L471_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L440_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ].
% 0.77/0.94  apply (zenon_L36_); trivial.
% 0.77/0.94  apply (zenon_L472_); trivial.
% 0.77/0.94  apply (zenon_L59_); trivial.
% 0.77/0.94  apply (zenon_L123_); trivial.
% 0.77/0.94  apply (zenon_L311_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L473_); trivial.
% 0.77/0.94  apply (zenon_L311_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L448_); trivial.
% 0.77/0.94  apply (zenon_L474_); trivial.
% 0.77/0.94  apply (zenon_L311_); trivial.
% 0.77/0.94  apply (zenon_L476_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L459_); trivial.
% 0.77/0.94  apply (zenon_L474_); trivial.
% 0.77/0.94  apply (zenon_L311_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L477_); trivial.
% 0.77/0.94  apply (zenon_L471_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hf. zenon_intro zenon_H35c.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1dd. zenon_intro zenon_H35d.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1de. zenon_intro zenon_H1e6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ].
% 0.77/0.94  apply (zenon_L479_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L480_); trivial.
% 0.77/0.94  apply (zenon_L385_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ].
% 0.77/0.94  apply (zenon_L479_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L481_); trivial.
% 0.77/0.94  apply (zenon_L385_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_L482_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L483_); trivial.
% 0.77/0.94  apply (zenon_L398_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L440_); trivial.
% 0.77/0.94  apply (zenon_L233_); trivial.
% 0.77/0.94  apply (zenon_L399_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L483_); trivial.
% 0.77/0.94  apply (zenon_L400_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L486_); trivial.
% 0.77/0.94  apply (zenon_L389_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L486_); trivial.
% 0.77/0.94  apply (zenon_L398_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L487_); trivial.
% 0.77/0.94  apply (zenon_L399_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L487_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L469_); trivial.
% 0.77/0.94  apply (zenon_L397_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_Hf. zenon_intro zenon_H35e.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H258. zenon_intro zenon_H35f.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H259. zenon_intro zenon_H25a.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H41 | zenon_intro zenon_H358 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ].
% 0.77/0.94  apply (zenon_L317_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L440_); trivial.
% 0.77/0.94  apply (zenon_L256_); trivial.
% 0.77/0.94  apply (zenon_L311_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L473_); trivial.
% 0.77/0.94  apply (zenon_L488_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L448_); trivial.
% 0.77/0.94  apply (zenon_L489_); trivial.
% 0.77/0.94  apply (zenon_L311_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L475_); trivial.
% 0.77/0.94  apply (zenon_L488_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L459_); trivial.
% 0.77/0.94  apply (zenon_L489_); trivial.
% 0.77/0.94  apply (zenon_L311_); trivial.
% 0.77/0.94  apply (zenon_L494_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hf. zenon_intro zenon_H35c.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1dd. zenon_intro zenon_H35d.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1de. zenon_intro zenon_H1e6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L480_); trivial.
% 0.77/0.94  apply (zenon_L415_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L478_); trivial.
% 0.77/0.94  apply (zenon_L415_); trivial.
% 0.77/0.94  apply (zenon_L495_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L440_); trivial.
% 0.77/0.94  apply (zenon_L283_); trivial.
% 0.77/0.94  apply (zenon_L420_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L440_); trivial.
% 0.77/0.94  apply (zenon_L424_); trivial.
% 0.77/0.94  apply (zenon_L426_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L448_); trivial.
% 0.77/0.94  apply (zenon_L429_); trivial.
% 0.77/0.94  apply (zenon_L430_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ].
% 0.77/0.94  apply (zenon_L448_); trivial.
% 0.77/0.94  apply (zenon_L496_); trivial.
% 0.77/0.94  apply (zenon_L426_); trivial.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf.
% 0.77/0.94  apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2.
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ].
% 0.77/0.94  apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ].
% 0.77/0.94  apply (zenon_L497_); trivial.
% 0.77/0.94  apply (zenon_L430_); trivial.
% 0.77/0.94  apply (zenon_L498_); trivial.
% 0.77/0.94  Qed.
% 0.77/0.94  % SZS output end Proof
% 0.77/0.94  (* END-PROOF *)
% 0.77/0.94  nodes searched: 36047
% 0.77/0.94  max branch formulas: 493
% 0.77/0.94  proof nodes created: 4804
% 0.77/0.94  formulas created: 45443
% 0.77/0.94  
%------------------------------------------------------------------------------